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On-Chip Ge-Based Refractive Index Sensor Based On Multislot Ge Waveguide, Çi̇çek Boztuğ
On-Chip Ge-Based Refractive Index Sensor Based On Multislot Ge Waveguide, Çi̇çek Boztuğ
Turkish Journal of Physics
On-chip optical sensors have been attracting significant attention of the researchers due to their portability, low cost, and in-situ detection compatibility. The realization of these compact and mass-producible sensors will be possible if all required optical and electronic components are fully integrated on the same chip. However, the main obstacle here is the lack of the room-temperature on-chip light source; therefore, an external source has been utilized for optical sensing applications. Our work introduces a germanium-based optical sensing structure, specifically designed to operate at low refractive indices, with all required optical components integrated on silicon in a CMOS-compatible manner. The …
Charge Asymmetry Phenomenon For The Leptonically Decaying W Γ Pair At Nnlo Qcd, Kadi̇r Saygin
Charge Asymmetry Phenomenon For The Leptonically Decaying W Γ Pair At Nnlo Qcd, Kadi̇r Saygin
Turkish Journal of Physics
The paper presents for the first time a phenomenological assessment which focuses on the charge asymmetry phenomenon for the W γ production process with subsequent leptonic decay modes W+γ → l+νlγ and W−γ → l−νl¯γ in proton-proton (pp) collisions. Charge asymmetry for the leptonic W γ process is predicted by the inclusion of genuine next-to-next-to-leading order (NNLO) corrections in the QCD perturbation theory. NNLO predictions of asymmetry distributions are assessed for the key observables, including the decay lepton and photon pseudorapidities ηl and ηγ, …
Synthesis Of Vinyl Esters Of Aromatic Carboxylic Acids In The Presence Of Zn/Sioc, Zno/Sioc, And Ni/Sioc Catalytic Systems, Shavkat Tursunov, Askar Parmanov, Suvankul Nurmanov, Odiljon Ziyadullayev, Dilshod Boykobilov, Liudmila Khoroshko, Monika Wilamowska-Zawlocka, Balanand Santhosh, Olim Ruzimuradov
Synthesis Of Vinyl Esters Of Aromatic Carboxylic Acids In The Presence Of Zn/Sioc, Zno/Sioc, And Ni/Sioc Catalytic Systems, Shavkat Tursunov, Askar Parmanov, Suvankul Nurmanov, Odiljon Ziyadullayev, Dilshod Boykobilov, Liudmila Khoroshko, Monika Wilamowska-Zawlocka, Balanand Santhosh, Olim Ruzimuradov
Turkish Journal of Chemistry
In this work, various aromatic monocarboxylic and dicarboxylic acids were subjected for the first time to a vinylation reaction with acetylene under heterogeneous catalytic conditions using catalytic systems based on silicon oxycarbide supported on silicon carbide (SiC): zinc silicon oxycarbide (Zn/SiOC), zinc oxide silicon oxycarbide (ZnO/SiOC), and nickel silicon oxycarbide (Ni/SiOC). The influence of the nature of the starting materials, temperature, reaction duration, solvent, and catalyst type on the yield of vinyl esters was investigated. The vinylation reaction of aromatic carboxylic acids with acetylene was carried out at 1:2 molar ratio, using a Zn/SiOC-50 catalytic system at a loading of …
The Theoretical Investigation Of The Stability And The Racemization Of Pristine, Functionalized, And Doped Expanded Helicenes, Bedi̇rhan Öztürk, Berkay Sütay
The Theoretical Investigation Of The Stability And The Racemization Of Pristine, Functionalized, And Doped Expanded Helicenes, Bedi̇rhan Öztürk, Berkay Sütay
Turkish Journal of Chemistry
The Hückel aromatic and Möbius aromatic compounds, consisting of topologically different arrangements of adjacent benzene rings in the polycyclic aromatic hydrocarbon (PAH) family, have long attracted interest in both synthesis and theoretical chemistry. Among these, [n]-azene and [n]-circulene derivatives are more thoroughly explored due to their simple architectures and more accessible synthesis pathways. However, there are active ongoing studies on the synthesis of both [n]-helicene and expanded [n]-helicene structures, as well as Möbius circulenes, which are Möbius isomers of [n]-circulenes. In this regard, there is limited information available on both the experimental and theoretical characterization of the synthesized molecules. In …
Fungal Palynomorphs From The Lower Cretaceous (Berriasian–Albian) Of Jangareddygudem Area Of The Chintalapudi Subbasin, Andhra Pradesh, South Part Of India, Harinam Joshi, Neerja Jha, Sarah Gonçalves Duarte, Sari̇ye Duygu Durak, Haytham Elatfy
Fungal Palynomorphs From The Lower Cretaceous (Berriasian–Albian) Of Jangareddygudem Area Of The Chintalapudi Subbasin, Andhra Pradesh, South Part Of India, Harinam Joshi, Neerja Jha, Sarah Gonçalves Duarte, Sari̇ye Duygu Durak, Haytham Elatfy
Turkish Journal of Earth Sciences
A diverse array of thalli, fruiting bodies, spores, and other fungal structures has been observed in palynological samples collected from the sedimentary sequence MJR-11, drilled in the Jangareddygudem area of the Chintalapudi subbasin, Andhra Pradesh, southern India. The sedimentary sequence is dated to the Kimmeridgian–early Albian, based on palynology. However, the focus of the present work is on the Early Cretaceous (Berriasian–early Albian). A well-developed and diverse fungal assemblage consistently occurred throughout most of the succession, together with predominant conifer pollen grains and highly diversified pteridophytic and bryophytic spores. Furthermore, the recorded palynomorphs suggest deposition under both continental and marine …
Fault Morphology Along A Sinistral Active Fault Near A Continental Triple Junction: The Ilıca Segment At The Northern Termination Of The East Anatolian Fault Zone, Türkiye, Aynur Di̇kbaş, Hani̇fe Merve Önal
Fault Morphology Along A Sinistral Active Fault Near A Continental Triple Junction: The Ilıca Segment At The Northern Termination Of The East Anatolian Fault Zone, Türkiye, Aynur Di̇kbaş, Hani̇fe Merve Önal
Turkish Journal of Earth Sciences
The East Anatolian fault zone (EAFZ) is an approximately 430 km long sinistral transform fault that bounds the southwestern margin of the Anatolian microplate between Karlıova (Bingöl) and Kahramanmaraş. It constitutes part of the Karlıova triple junction (KTJ) in eastern Anatolia. Near the KTJ, the Ilıca and Karlıova segments delineate the EAFZ. The Ilıca segment, approximately 38 km long, exhibits distinct fault-related geological structures, including linear valleys, elongated ridges, saddles, sag ponds, shutter ridges, thermal springs, and travertines. Based on extensive mapping using high-resolution imagery and field investigations, the Ilıca segment has been categorized into three sections: section 1 and …
First Insights Into The Origin Of Iron In Eastern Cilicia During The Iron Age, Using Osmium Isotope And Trace Element Analysis, Ivan Stepanov, Hüseyi̇n Öztürk, Michael Brauns, Ernst Pernicka, Nurullah Hanilçi, Ümi̇t Güder
First Insights Into The Origin Of Iron In Eastern Cilicia During The Iron Age, Using Osmium Isotope And Trace Element Analysis, Ivan Stepanov, Hüseyi̇n Öztürk, Michael Brauns, Ernst Pernicka, Nurullah Hanilçi, Ümi̇t Güder
Turkish Journal of Earth Sciences
Due to the abundance of ore resources and the probable technological advances of the Hittite civilisation, the Anatolian plateau is conventionally regarded as “the birthplace” of iron smelting technology. The present paper presents a complex archaeometric investigation of iron production remains from the Middle and Late Iron Age phases (c. 750–575 BC) at Kinet Höyük, a major trading port on the coast of eastern Cilicia (modern-day Dörtyol, Hatay). To provide an initial insight into the sources of iron processed at Kinet Höyük and to generate an overview of the 187Os/188Os and 187Re/188Os isotope ratios expected from eastern Anatolian iron ores, …
Coseismic Surface Deformation Analyses Using Sar And Optical Images: 2023 Kahramanmaraş Earthquake Sequence, Türkiye, Han-Kyung Bae, Gwang-Woo Oh, Jin-Hyuck Choi
Coseismic Surface Deformation Analyses Using Sar And Optical Images: 2023 Kahramanmaraş Earthquake Sequence, Türkiye, Han-Kyung Bae, Gwang-Woo Oh, Jin-Hyuck Choi
Turkish Journal of Earth Sciences
The 2023 Kahramanmaraş earthquake sequence in Türkiye, including Mw 7.7 and 7.6 mainshocks, caused significant surface ruptures along the East Anatolian Fault (EAF) and Sürgü–Çardak Fault (SCF). We calculated the coseismic displacement fields through pixel offset tracking (POT) analysis of Sentinel-1 SAR data and optical image correlation (OIC) analysis of Sentinel-2 imagery. Our results reveal distinct sinistral motion along both the EAF and SCF, with maximum offsets of about 7 and 9 m, respectively. Deformation zones were identified both on and off the fault, highlighting the relationship between the rupture geometry and the broader deformation field. A comparative evaluation of …
Geomagnetic Activity For The Kp = 7.3 Geomagnetic Storm In November 2023 Assessed By Observational Data, Eli̇f Çi̇ftçi̇, Özlem Hacioğlu
Geomagnetic Activity For The Kp = 7.3 Geomagnetic Storm In November 2023 Assessed By Observational Data, Eli̇f Çi̇ftçi̇, Özlem Hacioğlu
Turkish Journal of Earth Sciences
The geomagnetic storm of 4–6 November 2023, driven by an Earth-directed coronal mass ejection (CME), was a significant event marked by a peak geomagnetic activity index (Kp) of 7.3 on a 0–9 scale, indicating severe disturbance in Earth’s magnetic field. This CME-induced storm was characterized by intense auroral displays and reached a G3 level (Dst = −172 nT) around 12:40 UT on 5 November, with auroras observed at midlatitudes across Europe. This study examines the effects of the storm on the horizontal (H), declination (D), and vertical (Z) components of the geomagnetic field using data from sunlit-side magnetometer measurements. Planetary …
Preliminary Petrological, Mineralogical, And Geochemical Evaluation Of A Newly Discovered Lignite Field In Yatağan, Muğla (Sw Türkiye), Işik Hacimustafaoğlu, Mehmet Akbulut, Hülya İnaner, Kimon Christanis
Preliminary Petrological, Mineralogical, And Geochemical Evaluation Of A Newly Discovered Lignite Field In Yatağan, Muğla (Sw Türkiye), Işik Hacimustafaoğlu, Mehmet Akbulut, Hülya İnaner, Kimon Christanis
Turkish Journal of Earth Sciences
Thirty-two coal and seven inorganic core samples from a newly discovered coalfield in the Yatağan region of the Muğla Basin were analysed to reconstruct the depositional palaeoenvironment. The coal has an average bed moisture of 34.60%, an ash yield of 33.73% (db), a volatile matter yield of 57.91% (daf), and a gross calorific value of 12.18 MJ/kg (maf). It is composed of mainly huminite macerals (up to 91 vol.%, on whole-rock basis), predominantly densinite, along small amounts of liptinite and inertinite macerals. The average random reflectance of huminite is 0.28%, and the primary minerals identified include pyrite, quartz, and clay …
Quick Antiquing Of Natural Stones In The Restoration Process, Hakan Elçi̇
Quick Antiquing Of Natural Stones In The Restoration Process, Hakan Elçi̇
Turkish Journal of Earth Sciences
When ancient buildings are restored, even though the restored section uses natural stone with the same lithological characteristics and texture as the building, there is a noticeable color difference between the restored and ancient portions of the building, signifying an old/new difference. This color difference, which is caused by the deterioration of the natural stone used in the ancient structure over many years, gives the natural stone a black or brown appearance. In this study, white marble, travertine, and sandstone were treated with antiquing techniques described in the literature. The goal was to identify the technique that produces the most …
Trcaptionnet++: A High-Performance Encoder-Decoder Based Deep Turkish Image Captioning Model Fine-Tuned With A Large-Scale Set Of Pretrain Data, Serdar Yildiz, Abbas Memi̇ş, Songül Varli
Trcaptionnet++: A High-Performance Encoder-Decoder Based Deep Turkish Image Captioning Model Fine-Tuned With A Large-Scale Set Of Pretrain Data, Serdar Yildiz, Abbas Memi̇ş, Songül Varli
Turkish Journal of Electrical Engineering and Computer Sciences
This paper introduces a novel and high-performance encoder-decoder-based deep model called TRCaption Net++ for generic Turkish image captioning tasks. The proposed model is an improved and refined version of TRCap tionNet, which essentially employs a CLIP (contrastive language–image pretraining) image encoder, a feature projection layer and a BERT (bidirectional encoder representations from transformers) text decoder. Within the scope of the study, the regular TRCaptionNet model was trained and specifically fine-tuned with a massive set of image data. In this respect, approximately 2,000,000 random images representing the words in the MS COCO and Flickr caption sets were retrieved through web crawling …
Enhanced Pmu Data Imputation Using Variational Autoencoder: A Novel Approach For Improved Accuracy, Subin Koshy, Sunitha Rajan, Elizabeth P. Cheriyan
Enhanced Pmu Data Imputation Using Variational Autoencoder: A Novel Approach For Improved Accuracy, Subin Koshy, Sunitha Rajan, Elizabeth P. Cheriyan
Turkish Journal of Electrical Engineering and Computer Sciences
Data collected from various measurement devices, such as phasor measurement units (PMUs), form the backbone of power system monitoring algorithms such as state estimation algorithms. Even though modern PMUs are efficient, data inaccuracies and loss can still occur due to problems like equipment malfunctions, communication issues, and hardware or software glitches. Missing values in the datasets can also affect the overall quality, impacting the algorithms dependent on them. This article introduces a novel technique for real-time imputation of missing data using variational autoencoder (VAE) and utilizing the latent space representation acquired from VAE. The method has demonstrated enhanced accuracy in …
Automatic Detection Of Depression Using A Cnn-Transformer Model Based On Low-Channel Eeg Data, Dongfang Yu, Penghai Li, Fei Su, Kun Wang, Shutong Duan, Ding Yuan
Automatic Detection Of Depression Using A Cnn-Transformer Model Based On Low-Channel Eeg Data, Dongfang Yu, Penghai Li, Fei Su, Kun Wang, Shutong Duan, Ding Yuan
Turkish Journal of Electrical Engineering and Computer Sciences
Background: Accurate and portable diagnostic tools for Major Depressive Disorder (MDD) remain a critical unmet need in clinical practice. Electroencephalography (EEG), with its noninvasiveness and high sensitivity, presents an ideal modality, yet traditional multi-channel EEG systems limit clinical convenience and practical deployment. Methods: We developed a novel CNN-Transformer hybrid model using only eight EEG channels selected from frontal regions to detect MDD. Minimal preprocessing steps (basic filtering) were applied to EEG data before the model automatically learned both local and global signal features through convolutional and self-attention mechanisms. We validated this method through comprehensive experiments, including within-dataset and cross-dataset evaluations, …
Electronically Tunable Cccii And Ota-Based Fractional-Order Meminductor Emulator And Its Application, Bhawna Aggarwal, Rupam Das, Shireesh Kumar Rai
Electronically Tunable Cccii And Ota-Based Fractional-Order Meminductor Emulator And Its Application, Bhawna Aggarwal, Rupam Das, Shireesh Kumar Rai
Turkish Journal of Electrical Engineering and Computer Sciences
In this paper, two fractional-order meminductor (FOMI) emulators have been realized using second-generation current-controlled conveyor (CCCII) and operational transconductance amplifier (OTA). In the first realization, two OTAs, one CCCII, one resistor, one fractional-order capacitor, and one integer-order capacitor are used. In the second configuration two CCCIIs, one OTA, two resistors, one fractional-order capacitor, and one integer-order capacitor are used. Pinched hysteresis loops have been achieved for a wide range of frequencies. The robustness of the proposed FOMI emulators has been verified through formation of pinched hysteresis loops under process, voltage, and temperature variations. Other characteristics, such as transient analysis, nonvolatility …
Fractional-Order Adaptive Terminal Sliding Mode Control For Synchronization Of Uncertain Chaotic Memristive Chua's Circuit, Dorukhan Asteki̇n, Fati̇h Adigüzel
Fractional-Order Adaptive Terminal Sliding Mode Control For Synchronization Of Uncertain Chaotic Memristive Chua's Circuit, Dorukhan Asteki̇n, Fati̇h Adigüzel
Turkish Journal of Electrical Engineering and Computer Sciences
Memristive-based chaotic dynamical systems exhibit chaotic behavior with signals of unpredictable complex ity, making it difficult to achieve full synchronization in master-slave systems. Therefore, an advanced synchronization method is required to overcome the chaotic model uncertainties and external disturbances. In this study, a fractional order terminal sliding mode synchronization is proposed for the uncertain memristive chaotic Chua’s circuit. After presenting the integer-order model of the chaotic memristive Chua’s circuit, a fractional-order sliding surface-based non linear synchronization structure, incorporating the fractional derivative operator, is designed. The convergence of the synchronization closed-loop system is proven using Lyapunov theory. To demonstrate its effectiveness …
Electromagnetic Simulations Of Antennas On Gpus For Machine Learning Applications, Murat Temi̇z, Vemund Bakken
Electromagnetic Simulations Of Antennas On Gpus For Machine Learning Applications, Murat Temi̇z, Vemund Bakken
Turkish Journal of Electrical Engineering and Computer Sciences
This study proposes an antenna simulation framework powered by graphics processing units (GPUs) based on an open-source electromagnetic (EM) simulation software (gprMax) for machine learning applications of antenna design and optimization. Furthermore, it compares the simulation results with those obtained through commercial EM software. The proposed software framework for machine learning and surrogate model applications will produce antenna data sets consisting of a large number of antenna simulation results using GPUs. Although machine learning methods can attain the optimum solutions for many problems, they are known to be data-hungry and require a great deal of samples for the training stage …
Comparative Analysis Of The Complete Chloroplast Genome Of The Rare Endemic Palm Pinanga Arinasae Witono From Bali, Indonesia, Ni Putu Sri Asih, Risha Amilia Pratiwi, Istiana Prihatini, Paramita Cahyaningrum Kuswandi, Evy Yulianti, Arief Priyadi
Comparative Analysis Of The Complete Chloroplast Genome Of The Rare Endemic Palm Pinanga Arinasae Witono From Bali, Indonesia, Ni Putu Sri Asih, Risha Amilia Pratiwi, Istiana Prihatini, Paramita Cahyaningrum Kuswandi, Evy Yulianti, Arief Priyadi
Turkish Journal of Botany
Pinanga arinasae is an endangered species endemic to Bali, Indonesia. Our study aims to characterize its chloroplast genome, compare it with other chloroplast genomes, including its phylogenetic position within the Arecoideae subfamily, and identify potential molecular markers. P. arinasae chloroplast genomes characterization involves Illumina-based sequencing, de novo genome assembly, gene annotation, amino acid frequency, codon usage pattern analysis, and Simple Sequence Marker (SSR) identification. Comparative analysis include phylogenetic tree reconstruction, comparison of amino acid frequency, codon usage pattern, SSR number, inverted repeat junction arrangement, genome length, GC content, and gene number. Nucleotide diversity is calculated to identify substitution markers. The …
Improved Berezin Radius Inequalities For Functional Hilbert Space Operators, Mojtaba Bakherad, Ulaş Yamanci, Mohammad W. Alomari
Improved Berezin Radius Inequalities For Functional Hilbert Space Operators, Mojtaba Bakherad, Ulaş Yamanci, Mohammad W. Alomari
Turkish Journal of Mathematics
The Berezin number of an operator S is defined by ber(S) = supλ∈Θ |Ŝ(λ)| = supλ∈Θ |⟨Sĸ̂λ, ĸ̂λ⟩|, where Ŝ(λ) = ⟨Sĸ̂λ, ĸ̂λ⟩ (λ ∈ Θ) is the Berezin transform of an operator S on the functional Hilbert space ℋ = ℋ(Θ) and ĸ̂λ = ĸλ / ‖ĸλ‖ is the normalized reproducing kernel of ℋ. In this paper, we show an improvement of the classical Cauchy–Schwarz inequality involving the Berezin number. Moreover, some Berezin numbers inequalities are proven for invertible operators.
On Multiplicative Order Convergence And Multiplicative Order Continuous Operators, Hüma Gürkök, Bahri̇ Turan
On Multiplicative Order Convergence And Multiplicative Order Continuous Operators, Hüma Gürkök, Bahri̇ Turan
Turkish Journal of Mathematics
Let A and B be two f-algebras. This paper establishes the theoretical framework for multiplicative order convergence, clarifying its definition, properties, and relations to other convergence types. This includes a detailed discussion on the conditions under which multiplicative order convergence and order convergence, as well as unbounded order convergence, mutually imply each other. We establish an extension theorem for multiplicative order continuous operators, similar to Veksler’s theorem for order continuous operators. As a result of this theorem, we derive the order structure of the space of multiplicative order continuous operators. We show that the space Lmo(A, …
The Action Of The Superposition Operator On Weighted Banach Sequence Spaces LP,Σ, Nermin Okičić, Fehim Dedagić
The Action Of The Superposition Operator On Weighted Banach Sequence Spaces LP,Σ, Nermin Okičić, Fehim Dedagić
Turkish Journal of Mathematics
We consider a nonlinear superposition operator on weighted Banach spaces lp,σ, where σ is the weighted function with the property that (∀n ∈ ℕ) σ(n) ≥ 1. We present the necessary and sufficient conditions for the action of the superposition operator from lp,σ to lq,τ, 1 ≤ p, q ≤ ∞, as well as the L-characteristic of the action of the considered operator.
Nonoscillatory Solutions Of Third-Order Nonlinear Dynamic Equations: Existence And Nonexistence, Özkan Öztürk, Elvan Akin, Nesli̇han Nesli̇ye Pelen
Nonoscillatory Solutions Of Third-Order Nonlinear Dynamic Equations: Existence And Nonexistence, Özkan Öztürk, Elvan Akin, Nesli̇han Nesli̇ye Pelen
Turkish Journal of Mathematics
This paper investigates a third-order nonlinear dynamic equation on arbitrary time scales, a nonempty closed subset of the real numbers, unifying continuous and discrete analyses. We study the qualitative behavior of nonoscillatory solutions and their quasi-derivatives, focusing on their limiting behaviors. The existence of such solutions are established using improper integral criteria and Schauder’s and Knaster’s fixed point theorems. In addition, we establish the criteria for the nonexistence of nonoscillatory solutions. Furthermore, we prove the existence of Kneser-type solutions of the corresponding linear dynamic equation on isolated time scales, addressing an open problem in the literature. Several examples of theoretical …
Majorization Properties For Analytic Functions With Positive Real Part, Oya Mert
Majorization Properties For Analytic Functions With Positive Real Part, Oya Mert
Turkish Journal of Mathematics
The majorization feature is important when investigating analytical functions’ geometric properties. The present work focuses on the majorization property for a general Ma-Minda type function class S*φ(γ, λ) of starlike functions of complex order, which is described with the Ruscheweyh differential operator. In the context of the main theorem, consequences are presented for various special functions φ having a positive real part. Furthermore, the Ruscheweyh differential operator extends a representation formula and investigates an upper-bound formula. Examples of upper bounds for analytic functions are also presented.
Structural Stability For Damped Nonlinear Wave Equations, Sevda Isayeva, Varga Kalantarov
Structural Stability For Damped Nonlinear Wave Equations, Sevda Isayeva, Varga Kalantarov
Turkish Journal of Mathematics
We study the problem of continuous dependence on parameters for solutions to initial-boundary value problems for nonlinear strongly damped wave equations. Specifically, we consider three classes of equations: a strongly damped wave equation with a nonlinear damping term; a strongly damped wave equation incorporating both a nonlinear damping term and a nonlinear source term; and a strongly damped wave equation with a nonlinear source term and a linear weak damping term. For each class, we establish structural stability results, showing that the solutions depend continuously on the relevant parameters.
Application On Convolution For Fuzzy Differential Subordination Of Meromorphic Functions, Kholood Mohamed Alsager, Fethi̇ye Müge Sakar, Alina Alb Lupas, Sheza Mohamed El-Deeb
Application On Convolution For Fuzzy Differential Subordination Of Meromorphic Functions, Kholood Mohamed Alsager, Fethi̇ye Müge Sakar, Alina Alb Lupas, Sheza Mohamed El-Deeb
Turkish Journal of Mathematics
This paper investigates fuzzy differential subordinations involving meromorphic functions defined in the punctured unit disk. A novel operator based on the Hadamard product (also known as convolution) is introduced to establish new results in the theory of fuzzy differential subordination. This operator provides a generalized framework that extends classical analytic methods to the fuzzy setting, offering new insights into the geometric behavior of meromorphic functions under fuzzy conditions. Several sufficient conditions for fuzzy differential subordination are derived, and their connections to existing results are discussed. The findings contribute to the growing body of literature at the intersection of classical geometric …
(Α, Β)-Normal Differential Operators For First Order In Hilbert Spaces Of Vector-Functions, Zameddin I. Ismailov, Pembe İpek Al
(Α, Β)-Normal Differential Operators For First Order In Hilbert Spaces Of Vector-Functions, Zameddin I. Ismailov, Pembe İpek Al
Turkish Journal of Mathematics
In this article, the relationships between (α, β)-normality properties of the extensions of the minimal operator generated by the first-order differential operator expression in the Hilbert spaces of vector-functions in a finite interval and the variable operator coefficients of this differential operator expression are investigated. Then, the general form of all (α, β)-normal extensions of the minimal operator in these spaces is determined under the constraints obtained for the coefficient operators.
On Certain Subclasses Of Starlike And Convex Functions With Respect To T-Symmetric Points, Osman Altintaş, Ni̇zami̇ Mustafa
On Certain Subclasses Of Starlike And Convex Functions With Respect To T-Symmetric Points, Osman Altintaş, Ni̇zami̇ Mustafa
Turkish Journal of Mathematics
In this study, we defined for the first time a new subclass of stalike and convex functions in the open unit disk of the complex plane and we examined coefficiend upper bound estimates for this class.
The Generalization Of Rectifying Helices, Bülent Altunkaya
The Generalization Of Rectifying Helices, Bülent Altunkaya
Turkish Journal of Mathematics
This work establishes connections between different classes of arbitrary speed rectifying helices. We further analyze how the involute of a space curve can exhibit spherical helicity and how the evolute can inherit rectifying properties, thereby providing an alternative characterization of these helices. These relationships, along with their interplay with involutes and evolutes, are supported by illustrative examples that offer deeper insights into their geometric properties.
Applications Of A New Linear Operator Involving Dziok-Srivastava Operator And Bessel Function Of The First Kind, Daniela Andrada Bardac-Vlada, Georgia Irina Oros
Applications Of A New Linear Operator Involving Dziok-Srivastava Operator And Bessel Function Of The First Kind, Daniela Andrada Bardac-Vlada, Georgia Irina Oros
Turkish Journal of Mathematics
This study introduces a new linear operator constructed from the well-known Dziok–Srivastava linear hypergeometric operator, the Bessel function of the first kind, and convolution. Applying the new operator, a class of functions with positive real part is defined and investigated concerning inclusion relations, the necessary and sufficient conditions for functions to belong to this class, as well as starlikeness and convexity conditions. The properties of the new class to be convex of a certain order, close-to-convex and starlike of a certain order are highlighted and examples are also included to prove that the new outcome is applicable. The methods employed …