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2020

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Articles 1021 - 1050 of 1327

Full-Text Articles in Mathematics

Some Results On Prime Rings With Multiplicative Derivations, Gurninder Singh Sandhu, Di̇dem Karalarlioğlu Camci Jan 2020

Some Results On Prime Rings With Multiplicative Derivations, Gurninder Singh Sandhu, Di̇dem Karalarlioğlu Camci

Turkish Journal of Mathematics

Let $R$ be a prime ring with center $Z(R)$ and an automorphism $\alpha.$ A mapping $\delta:R\to R$ is called multiplicative skew derivation if $\delta(xy)=\delta(x)y+ \alpha(x)\delta(y)$ for all $x,y\in R$ and a mapping $F:R\to R$ is said to be multiplicative (generalized)-skew derivation if there exists a unique multiplicative skew derivation $\delta$ such that $F(xy)=F(x)y+\alpha(x)\delta(y)$ for all $x,y\in R.$ In this paper, our intent is to examine the commutativity of $R$ involving multiplicative (generalized)-skew derivations that satisfy the following conditions: (i) $F(x^{2})+x\delta(x)=\delta(x^{2})+xF(x)$, (ii) $F(x\circ y)=\delta(x\circ y)\pm x\circ y$, (iii) $F([x,y])=\delta([x,y])\pm [x,y]$, (iv) $F(x^{2})=\delta(x^{2})$, (v) $F([x,y])=\pm x^{k}[x,\delta(y)]x^{m}$, (vi) $F(x\circ y)=\pm x^{k}(x\circ\delta(y))x^{m}$, (vii) $F([x,y])=\pm …

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On The Variational Curves Due To The Ed-Frame Field In Euclidean 4-Space, Muradi̇ye Çi̇mdi̇ker, Yasi̇n Ünlütürk Jan 2020

On The Variational Curves Due To The Ed-Frame Field In Euclidean 4-Space, Muradi̇ye Çi̇mdi̇ker, Yasi̇n Ünlütürk

Turkish Journal of Mathematics

In this study, we define a variational field for constructing a family of Frenet curvesof the length l lying on a connected oriented hypersurface and calculate the length of the variational curves due to the ED-frame field in Euclidean 4-space. And then, we derive the intrinsic equations for the variational curves and also obtain boundary conditions for this type of curves due to the ED-frame field in Euclidean 4-space.

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An Analytical Investigatıon On Starlikeness And Convexity Properties For Hypergeometric Functions, İsmet Yildiz, Alaatti̇n Akyar Jan 2020

An Analytical Investigatıon On Starlikeness And Convexity Properties For Hypergeometric Functions, İsmet Yildiz, Alaatti̇n Akyar

Turkish Journal of Mathematics

In this study, we analytically investigate hypergeometric functions having some properties such as convexity and starlike. We fundamentally focus on obtaining desired conditions on the parameters \(a,b\), and $c$ in order that a hypergeometric function to be in various subclasses of starlike and convex functions of order \(\alpha=2^{-r}\) and order \(\alpha=2^{-r}\) type $\beta=2^{-1}$, with $r$ is a positive integer.

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Units And 2-Class Field Towers Of Some Multiquadratic Number Fields, Mohamed Mahmoud Chems-Eddin, Abdelkader Zekhnini, Abdelmalek Azizi Jan 2020

Units And 2-Class Field Towers Of Some Multiquadratic Number Fields, Mohamed Mahmoud Chems-Eddin, Abdelkader Zekhnini, Abdelmalek Azizi

Turkish Journal of Mathematics

In this paper, we investigate the unit groups, the 2-class groups, the 2-class field towers and the structures of the second 2-class groups of some multiquadratic number fields of degree 8 and 16.

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On 3-Dimensional Almost Einstein Manifolds With Circulant Structures, Iva Dokuzova Jan 2020

On 3-Dimensional Almost Einstein Manifolds With Circulant Structures, Iva Dokuzova

Turkish Journal of Mathematics

A 3-dimensional Riemannian manifold equipped with a tensor structure of type (1,1), whose third power is the identity, is considered. This structure and the metric have circulant matrices with respect to some basis, i.e. these structures are circulant. An associated manifold, whose metric is expressed by both structures, is studied. Three classes of such manifolds are considered. Two of them are determined by special properties of the curvature tensor of the manifold. The third class is composed by manifolds whose structure is parallel with respect to the Levi-Civitaconnection of the metric. Some geometric characteristics of these manifolds are obtained. Examples …

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On Ulam's Type Stability Criteria For Fractional Integral Equations Including Hadamard Type Singular Kernel, Yasemi̇n Başci, Süleyman Öğrekçi̇, Adi̇l Misir Jan 2020

On Ulam's Type Stability Criteria For Fractional Integral Equations Including Hadamard Type Singular Kernel, Yasemi̇n Başci, Süleyman Öğrekçi̇, Adi̇l Misir

Turkish Journal of Mathematics

In this paper, we deal with the Hyers-Ulam-Rassias (HUR) and Hyers-Ulam (HU) stability of Hadamard type fractional integral equations on compact intervals. The stability conditions are developed using a new generalized metric (GM) definition and the fixed point technique by motivating Wang and Lin Ulam's type stability of Hadamard type fractional integral equations. Filomat 2014; 28(7): 1323-1331. Moreover, our approach is efficient and ease in use than to the previously studied approaches. Finally, we give two examples to explain our main results.

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Asymptotic Socle Behaviors For Cones Over Curves In Positive Characteristic, Jinjia Li Jan 2020

Asymptotic Socle Behaviors For Cones Over Curves In Positive Characteristic, Jinjia Li

Turkish Journal of Mathematics

This paper studies the distribution of socle degrees of $R/I^{[p^e]}$ when $e$ is large, for a homogeneous ideal $I$ in a two-dimensional standard-graded normal domain $R$ in positive characteristic $p$. We prove that the distribution is very much related to the asymptotic slopes of the syzygy bundle Syz$(I)$, which have been known to determine the Hilbert-Kunz multiplicity of $I$.

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Characterizations Of Dual Curves And Dual Focal Curves In Dual Lorentzian Space $ D^{3}_{1} $, Sareh Mehdizadeh Gilani, Nemat Abazari, Yusuf Yayli Jan 2020

Characterizations Of Dual Curves And Dual Focal Curves In Dual Lorentzian Space $ D^{3}_{1} $, Sareh Mehdizadeh Gilani, Nemat Abazari, Yusuf Yayli

Turkish Journal of Mathematics

In this paper, we have introduced dual Lorentzian connection, bracket and curvature tensor on dual Lorentzian space $ D_{1}^{3} .$ We have studied a dual curve in different situations in dual Lorentzian space $D^{3}_{1} $ and have found Bishop Darboux vector and some relations according to this vector field, Bishop frame and focal curve of the present dual curve. It has been shown that Bishop Darboux vector has a similar amount in three different cases of a dual curve and the first dual focal curvature of the aforementioned curve is constant function.

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On Some Sums At The $A$-Points Of The $K$-Th Derivatives Of The Dirichlet $L$-Functions, Mohammed Mekkaoui, Abdallah Derbal, Kamel Mazhouda Jan 2020

On Some Sums At The $A$-Points Of The $K$-Th Derivatives Of The Dirichlet $L$-Functions, Mohammed Mekkaoui, Abdallah Derbal, Kamel Mazhouda

Turkish Journal of Mathematics

Let $L^{(k)}(s,\chi)$ be the $k$-th derivative of the Dirichlet L-function associated with a primitive character $\chi$ mod $q$ and $a$ be a complex number. The solutions of $L^{(k)}(s,\chi)=a$ are called $a$-points. In this paper, we give an asymptotic formula for the sums

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On Basicity Of The System Of Eigenfunctions Of One Discontinuous Spectral Problem For Second Order Differential Equation For Grand-Lebesgue Space, Yusuf Zeren, Miqdad Ismailov, Fati̇h Şi̇ri̇n Jan 2020

On Basicity Of The System Of Eigenfunctions Of One Discontinuous Spectral Problem For Second Order Differential Equation For Grand-Lebesgue Space, Yusuf Zeren, Miqdad Ismailov, Fati̇h Şi̇ri̇n

Turkish Journal of Mathematics

Basicity of the system of eigenfunctions of some\textbf{ }discontinuous spectral problem for a second order differential equation with spectral parameter in boundary condition for grand-Lebesgue space $L_{p)} (-1;1)$ is studied in this work. Since the space is nonseparable, a subspace suitable for the spectral problem is defined. The subspace $G_{p)} (-1;1)$ of $L_{p)} (-1;1)$ generated by shift operator is considered. Basicity of the system of eigenfunctions for the space $G_{p)} (-1;1)\oplus C$, $1

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Existence Of Self-Similar Solutions To Smoluchowski's Coagulation Equation With Product Kernel, Tanfer Tanriverdi̇ Jan 2020

Existence Of Self-Similar Solutions To Smoluchowski's Coagulation Equation With Product Kernel, Tanfer Tanriverdi̇

Turkish Journal of Mathematics

We explore, by using formal analysis, the existence of mass conserving self-similar solutions for Smoluchowski's coagulation equation when kernel $K(x,y)=x^{\lambda} y^{\mu}+x^{\mu} y^{\lambda}$ with $0

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Surface Pencil With A Common Adjoint Curve, Ergi̇n Bayram Jan 2020

Surface Pencil With A Common Adjoint Curve, Ergi̇n Bayram

Turkish Journal of Mathematics

In the present paper,we construct surfaces possessing an adjoint curve of a given space curve as an asymptotic curve, geodesic or line of curvature. We obtain conditions for ruled surfaces and developable ones. Finally, we present illustrative examples to show the validity of the present method.

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Some Results On Top Generalized Local Cohomology Modules With Respect To A System Of Ideals, Nguyen Minh Tri Jan 2020

Some Results On Top Generalized Local Cohomology Modules With Respect To A System Of Ideals, Nguyen Minh Tri

Turkish Journal of Mathematics

Let $R$ be a commutative Noetherian ring and $\Phi$ be a system of ideals of $R.$ In this paper, we study the annihilators and the set of attached prime ideals of top generalized local cohomology modules with respect to a system of ideals.

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Some Higher-Order Identities For Generalized Bi-Periodic Horadam Sequences, Ho-Hon Leung, Eli̇f Tan Jan 2020

Some Higher-Order Identities For Generalized Bi-Periodic Horadam Sequences, Ho-Hon Leung, Eli̇f Tan

Turkish Journal of Mathematics

In this paper, we derive higher-order identities for the generalized bi-periodic Horadam sequences. Some of our results generalize the identities for the classical Fibonacci sequences and Horadam sequences obtained by Hoggatt, Horadam and Waddill. As an application, we derive some congruence properties satisfied by the generalized bi-periodic Horadam sequences.

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Extension Of Montgomery Identity Via Taylor Polynomial On Time Scales, Khuram Ali Khan, Khalid Mahmood Awan, Sumaiya Malik, Ammara Nosheen Jan 2020

Extension Of Montgomery Identity Via Taylor Polynomial On Time Scales, Khuram Ali Khan, Khalid Mahmood Awan, Sumaiya Malik, Ammara Nosheen

Turkish Journal of Mathematics

An extension in Montgomery identity with the help of Taylor?s formula on time scales is provided in the paper, which is used to establish Ostrowski type inequality, midpoint inequality and trapezoid type inequality on time scales in generalized forms. The weighted version of obtained Montgomery identity and respective Ostrowski inequality are also addressed at the end of the paper.

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An Algorithm To Check The Equality Of Total Domination Number And Double Of Domination Number In Graphs, Seli̇m Bahadir Jan 2020

An Algorithm To Check The Equality Of Total Domination Number And Double Of Domination Number In Graphs, Seli̇m Bahadir

Turkish Journal of Mathematics

In graph theory, domination number and its variants such as total domination number are studied by many authors. Let the domination number and the total domination number of a graph $G$ without isolated vertices be $\gamma(G)$ and $\gamma_t(G)$, respectively. Based on the inequality $\gamma_t(G) \leq 2\gamma(G)$, we investigate the graphs satisfying the upper bound, that is, graphs $G$ with $\gamma_t(G) = 2\gamma(G)$. In this paper, we present some new properties of such graphs and provide an algorithm which can determine whether $\gamma_t(G) = 2\gamma(G)$ or not for a family of graphs not covered by the previous results in the literature.

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Benedicks And Donoho-Stark Type Theorems, Lotfi Kamoun, Raoudha Laffi Jan 2020

Benedicks And Donoho-Stark Type Theorems, Lotfi Kamoun, Raoudha Laffi

Turkish Journal of Mathematics

In this paper, we prove a Benedicks type theorem and a Donoho-Stark type theorem, for the generalized Fourier transform $\mathcal{F}_\alpha$ associated to some differential operators that we call Flensted-Jensen operators, in various spaces such $\mathrm{L}^1_\alpha(\mathbb{K})$, $\mathrm{L}^2_\alpha(\mathbb{K})$ and $\mathrm{L}^1_\alpha(\mathbb{K})\cap\mathrm{L}^2_\alpha(\mathbb{K})$, where $\mathbb{K}=\mathbb{R}_+\times\mathbb{R}$

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Some Characterizations Of Kb-Operators On Banach Lattices And Ordered Banach Spaces, Bi̇rol Altin, Nabil Machrafi Jan 2020

Some Characterizations Of Kb-Operators On Banach Lattices And Ordered Banach Spaces, Bi̇rol Altin, Nabil Machrafi

Turkish Journal of Mathematics

We determine that two recent classes of KB-operators and weak KB-operators and the well-known class of b-weakly compact operators, from a Banach lattice into a Banach space, are the same. We extend our study to the ordered Banach space setting by showing that a weak chain-preserving operator between two ordered Banach spaces is a KB-operator if and only if it is a weak KB-operator.

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The Generalized Inverses Of The Products Of Two Elements In A Ring, Kai Yan, Qingping Zeng Jan 2020

The Generalized Inverses Of The Products Of Two Elements In A Ring, Kai Yan, Qingping Zeng

Turkish Journal of Mathematics

In this paper, new extensions of Jacobson's lemma and Cline's formula for Drazin inverses, generalized Drazin inverses, and ($m,n$)-pseudo-inverses are given. As applications, we provide a formula for the powers of the products of two elements and establish connections between two B-Fredholm elements through the canonical map.

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On Hausdorff-Young Inequalities In Generalized Lebesgue Spaces, Miqdad Ismailov Jan 2020

On Hausdorff-Young Inequalities In Generalized Lebesgue Spaces, Miqdad Ismailov

Turkish Journal of Mathematics

Lebesgue spaces with the variable rate of summability are considered in this work. Generalizations of Riesz and Paley theorems are proved in these spaces. The obtained results are applied, in particular, to a classical exponential system.

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On $\Mathcal{X}$-Gorenstein Projective Dimensions And Precovers, Bin Yu Jan 2020

On $\Mathcal{X}$-Gorenstein Projective Dimensions And Precovers, Bin Yu

Turkish Journal of Mathematics

For a class of $R$-modules $\mathcal{X}$ containing all projective $R$-modules, the $\mathcal{X}$-Gorenstein projective $R$-modules vary from projective to Gorenstein projective $R$-modules. We characterize the rings over which the left global $\mathcal{X}$-Gorenstein projective dimensions are finite. If further $\mathcal{Y}$ contains all injective $R$-modules, we show the existence of a new left global Gorenstein dimension of $R$ with respect to $\mathcal{X}$ and $\mathcal{Y}$ satisfying proper conditions. As an application we characterize Ding-Chen rings by this new global Gorenstein dimension and show the existence of Ding-Chen rings with infinite global Gorenstein dimension. We also show the existence of $\mathcal{X}$-Gorenstein projective precovers for a …

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On The Autocentralizer Subgroups Of Finite $P$--Groups, Parisa Seifizadeh, Ali Gholamian, Amirali Farokhniaee, Mohammad Mehdi Nasrabadi Jan 2020

On The Autocentralizer Subgroups Of Finite $P$--Groups, Parisa Seifizadeh, Ali Gholamian, Amirali Farokhniaee, Mohammad Mehdi Nasrabadi

Turkish Journal of Mathematics

Let $G$ be a finite group and ${\rm Aut}(G)$ be the group of automorphisms of $G.$ Then, the autocentralizer of an automorphism $\alpha\in {\rm Aut}(G)$ in $G$ is defined as $C_{G}(\alpha)= \lbrace g \in G\vert \alpha(g)=g\rbrace.$ Let $Acent(G)=\lbrace C_{G}(\alpha)\vert \alpha \in {\rm Aut}(G) \rbrace.$ If $\vert Acent(G)\vert= n,$ then $G$ is an $n$--autocentralizer group. In this paper, we classify all $n$--autocentralizer abelian groups for $n=$ 6, 7 and 8. We also obtain a lower bound on the number of autocentralizer subgroups for $p$--groups, where $p$ is a prime number. We show that if $p\neq 2,$ there is no $n$--autocentralizer $p$--group …

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Application Of Spectral Mapping Method To Dirac Operator, Rauf Ami̇rov, Merve Arslantaş Jan 2020

Application Of Spectral Mapping Method To Dirac Operator, Rauf Ami̇rov, Merve Arslantaş

Turkish Journal of Mathematics

In the present study, theorems related to the uniqueness of the solution of inverse problems for Dirac equations system are proved by applying spectral mapping method. With the help of this method, the inverse problem is reduced to the so-called main equation, which corresponds to the problem of existence and uniqueness of the solution of the system of linear equations in the Banach space.

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Lattice Ordered Semigroups And $\Gamma$-Hypersemigroups, Niovi Kehayopulu Jan 2020

Lattice Ordered Semigroups And $\Gamma$-Hypersemigroups, Niovi Kehayopulu

Turkish Journal of Mathematics

As we have already seen in Turkish Journal of Mathematics (2019) 43: 2592-2601 many results on hypersemigroups do not need any proof as they can be obtained from lattice ordered semigroups. The present paper goes a step further, to show that many results on $\Gamma$-hypersemigroups as well can be obtained from lattice ordered semigroups. It can be instructive to prove them directly, but even in that case the proofs go along the lines of lattice ordered semigroups (or $poe$-semigroups). In the investigation, we faced the problem to correct the definition of $\Gamma$-hypersemigroups given in the existing bibliography.

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Dynamics Of A Fluid Equation With Neumann Boundary Conditions, Limin Chen, Shengjun Li, Yumei Zou Jan 2020

Dynamics Of A Fluid Equation With Neumann Boundary Conditions, Limin Chen, Shengjun Li, Yumei Zou

Turkish Journal of Mathematics

We study the dynamics of a Neumann boundary value problem arising in fluid dynamics. We prove the nonexistence, existence and uniqueness of positive solutions under suitable conditions. At the same time, under stricter conditions, we also obtain the dynamic properties of the Neumann boundary value problem, such as the stability and instability of positive solutions. The methods of proof mainly involve the upper and lower solutions method, eigenvalue theory and some analysis techniques.

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Hypergeometric Distribution Of The Number Of Draws From An Urn With Two Types Of Items Before One Of The Counts Reaches A Threshold, J. L. Gonzalez-Santander Jan 2020

Hypergeometric Distribution Of The Number Of Draws From An Urn With Two Types Of Items Before One Of The Counts Reaches A Threshold, J. L. Gonzalez-Santander

Turkish Journal of Mathematics

We consider an urn with $R$ elements of one type and $B$ elements of other type. We calculate the probability distribution $P_{n_{R},n_{B}}^{R,B}\left( s\right) $ wherein the random variable $s$ is the number of draws from the urn until we reach $n_{R}$ elements of type $R$ or $n_{B}$ elements of type $B$. We calculate the mean value $\left\langle s\right\rangle $ and the standard deviation $\sigma $ of $P_{n_{R},n_{B}}^{R,B}\left( s\right) $ in terms of hypergeometric functions. For $n_{R}=n_{B}$ and $B=R$ , we reduce $\left\langle s\right\rangle $ and $\sigma $ in terms of elementary functions. Also, the normalization condition leads to a new …

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Classification Of Some Subclasses Of 6-Dimensional Nilpotent Leibniz Algebras, Ismail Demir Jan 2020

Classification Of Some Subclasses Of 6-Dimensional Nilpotent Leibniz Algebras, Ismail Demir

Turkish Journal of Mathematics

This article is a contribution to the improvement of classification theory in Leibniz algebras. We extend the method of congruence classes of matrices of bilinear forms that was used to classify complex nilpotent Leibniz algebras with one dimensional derived algebra. In this work we focus on applying this method to the classification of 6-dimensional complex nilpotent Leibniz algebras with two dimensional derived algebra.

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Vacuum Isolating And Blow-Up Analysis For Edge Hyperbolic System On Edge Sobolev Spaces, Morteza Koozehgar Kalleji, Nematollah Kadkhoda Jan 2020

Vacuum Isolating And Blow-Up Analysis For Edge Hyperbolic System On Edge Sobolev Spaces, Morteza Koozehgar Kalleji, Nematollah Kadkhoda

Turkish Journal of Mathematics

This paper deals with the study of the initial-boundary value problem of edge-hyperbolic system with damping term on the manifold with edge singularity. More precisely, it is analyzed the invariance and vacuum isolating of the solution sets to the edge-hyperbolic systems on edge Sobolev spaces. Then, by using a family of modified potential wells and concavity methods, it is obtained existence and nonexistence results of global solutions with exponential decay and is shown the blow-up in finite time of solutions on the manifold with edge singularities.

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The Third Logarithmic Coefficient For The Class $\Mathcal{S}$, Milutin Obradovic, Nikola Tuneski Jan 2020

The Third Logarithmic Coefficient For The Class $\Mathcal{S}$, Milutin Obradovic, Nikola Tuneski

Turkish Journal of Mathematics

In this paper we give an upper bound of the third logarithmic coefficient for the class $\mathcal{S}$ of univalent functions in the unit disc.

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Representation Numbers Of Seven Quaternary Quadratic Forms Each In A Genus Consisting Of Only Two Classes, Ayşe Alaca, Şaban Alaca, Kenneth Williams Jan 2020

Representation Numbers Of Seven Quaternary Quadratic Forms Each In A Genus Consisting Of Only Two Classes, Ayşe Alaca, Şaban Alaca, Kenneth Williams

Turkish Journal of Mathematics

The purpose of this paper is to present some examples of positive-definite integral nondiagonal quaternary quadratic forms whose representation numbers can be determined explicitly using the theory of modular forms. Very few such examples appear in the literature. The seven forms presented were selected because they each belong to a genus containing exactly two form classes for which the single genus mate is a diagonal form whose representation number has been determined recently.

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