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Articles 1 - 30 of 636
Full-Text Articles in Physical Sciences and Mathematics
New Inequalities For Fractional Integrals And Their Applications, Hsiow Ru Hwang, Kuei Lin Tseng, Kai Chen Hsu
New Inequalities For Fractional Integrals And Their Applications, Hsiow Ru Hwang, Kuei Lin Tseng, Kai Chen Hsu
Turkish Journal of Mathematics
In this paper, we establish some Hermite--Hadamard-type, Bullen-type, and Simpson-type inequalities for fractional integrals. Some applications for the beta function are also given.
On Algebraic Properties Of Veronese Bi-Type Ideals Arising From Graphs, Maurizio Imbesi, Monica La Barbiera
On Algebraic Properties Of Veronese Bi-Type Ideals Arising From Graphs, Maurizio Imbesi, Monica La Barbiera
Turkish Journal of Mathematics
Some algebraic properties of the ideals of Veronese bi-type arising from graphs with loops are studied. More precisely, the property of these ideals to be bi-polymatroidal is discussed. Moreover, we are able to determine the structure of the ideals of vertex covers for such generalized graph ideals.
A Note On Reduction Numbers And Hilbert-Samuel Functions Of Ideals Over Cohen-Macaulay Rings, Amir Mafi, Dler Naderi
A Note On Reduction Numbers And Hilbert-Samuel Functions Of Ideals Over Cohen-Macaulay Rings, Amir Mafi, Dler Naderi
Turkish Journal of Mathematics
Let $(R,\fm)$ be a Cohen--Macaulay local ring of dimension $d\geq 2$ with infinite residue field and $I$ an $\fm$-primary ideal of $R$. Let $I$ be integrally closed and $J$ be a minimal reduction of $I$. In this paper, we show that the following are equivalent: $(i)$ $P_I(n)=H_I(n)$ for $n=1,2$; $(ii)$ $P_I(n)=H_I(n)$ for all $n\geq 1$; $(iii)$ $I^3=JI^2$. Moreover, if $\Dim R=3$, $n(I)\leq 1$ and $\grade gr_I(R)_+>0$, then the reduction number $r(I)$ is independent.
Sharp Bounds For The First Nonzero Steklov Eigenvalues For$F$-Laplacians, Guangyue Huang, Bingqing Ma
Sharp Bounds For The First Nonzero Steklov Eigenvalues For$F$-Laplacians, Guangyue Huang, Bingqing Ma
Turkish Journal of Mathematics
Let $M$ be an $n$-dimensional compact Riemannian manifold with a boundary. In this paper, we consider the Steklov first eigenvalue with respect to the $f$-divergence form: $$ e^{f}{\rm div}(e^{-f}A\nabla u)=0\ {\rm in}\ \ M, \ \ \ \ \ \langle A(\nabla u),\nu\rangle-\eta u=0 \ \ {\rm on}\ \partial M,$$ where $A$ is a smooth symmetric and positive definite endomorphism of $TM$, and the following three fourth order Steklov eigenvalue problems: $$ (\Delta_f)^2u=0\ \ {\rm in}\ M, \ \ \ \ \ u=\Delta_f u-q\frac{\partial u}{\partial \nu}=0\ \ {\rm on}\ \partial M; $$ $$ (\Delta_f)^2u=0\ {\rm in}\ \ M, \ \ \ …
A Remark On Singularity Of Homeomorphisms And Hausdorff Dimension, Chun Wei, Shengyou Wen
A Remark On Singularity Of Homeomorphisms And Hausdorff Dimension, Chun Wei, Shengyou Wen
Turkish Journal of Mathematics
We prove that there is a homeomorphism of the unit interval onto itself that is so singular that it maps some set $E$ of $\dim_HE=0$ onto a set $F$ of $\dim_H[0,1]\setminus F=0$.
A Lower Bound For Stanley Depth Of Squarefree Monomial Ideals, Guangjun Zhu
A Lower Bound For Stanley Depth Of Squarefree Monomial Ideals, Guangjun Zhu
Turkish Journal of Mathematics
Let $S=K[x_{1},\dots,x_{n}]$ be a polynomial ring over a field $K$ in $n$ variables and $I$ a squarefree monomial ideal of $S$ with Schmitt--Vogel number $sv(I)$. In this paper, we show that $\mbox{sdepth}\,(I)\geq \mbox{max}\,\{1, n-1-\lfloor \frac{sv(I)}{2}\rfloor\},$ which improves the lower bound obtained by Herzog, Vladoiu, and Zheng. As some applications, we show that Stanley's conjecture holds for the edge ideals of some special $n$-cyclic graphs with a common edge.
Idempotents Of The Green Algebras Of Finite Dimensionalpointed Rank One Hopf Algebras Of Nilpotent Type, Zhihua Wang
Idempotents Of The Green Algebras Of Finite Dimensionalpointed Rank One Hopf Algebras Of Nilpotent Type, Zhihua Wang
Turkish Journal of Mathematics
In this paper, we intend to study idempotents of the Green algebra (complexified Green ring) of any finite dimensional pointed rank one Hopf algebra of nilpotent type over the complex number field. We first determine all one dimensional representations of the quotient algebra of the Green algebra modulo its Jacobson radical. This gives rise to all primitive idempotents of the quotient algebra. Then we present explicitly primitive idempotents of the Green algebra by lifting the ones of the quotient algebra. Finally, as an example, we describe all primitive idempotents of the Green algebra of the Taft algebra $T_3$.
Simulations Of The Helmholtz Equation At Any Wave Number For Adaptive Grids Using A Modified Central Finite Difference Scheme, Hafiz Abdul Wajid
Simulations Of The Helmholtz Equation At Any Wave Number For Adaptive Grids Using A Modified Central Finite Difference Scheme, Hafiz Abdul Wajid
Turkish Journal of Mathematics
In this paper, a modified central finite difference scheme for a three-point nonuniform grid is presented for the one-dimensional homogeneous Helmholtz equation using the Bloch wave property. The modified scheme provides highly accurate solutions at the nodes of the nonuniform grid for very small to very large range of wave numbers irrespective of how the grid is adapted throughout the domain. A variety of numerical examples are considered to validate the superiority of the modified scheme for a nonuniform grid over a standard central finite difference scheme.
A New Aspect To Picard Operators With Simulation Functions, Murat Olgun, Tuğçe Alyildiz, Özge Bi̇çer
A New Aspect To Picard Operators With Simulation Functions, Murat Olgun, Tuğçe Alyildiz, Özge Bi̇çer
Turkish Journal of Mathematics
In the present paper, considering the simulation function, we give a new class of Picard operators on complete metric spaces. We also provide a nontrivial example that shows the aforementioned class properly contains some earlier such classes.
On The Zero-Divisor Graphs Of Finite Free Semilattices, Kemal Toker
On The Zero-Divisor Graphs Of Finite Free Semilattices, Kemal Toker
Turkish Journal of Mathematics
Let $SL_{X}$ be the free semilattice on a finite nonempty set $X$. There exists an undirected graph $\Gamma(SL_{X})$ associated with $SL_{X}$ whose vertices are the proper subsets of $X$, except the empty set, and two distinct vertices $A$ and $B$ of $\Gamma(SL_{X})$ are adjacent if and only if $A\cup B=X$. In this paper, the diameter, radius, girth, degree of any vertex, domination number, independence number, clique number, chromatic number, and chromatic index of $\Gamma(SL_{X})$ have been established. Moreover, we have determined when $\Gamma(SL_{X})$ is a perfect graph and when the core of $\Gamma(SL_{X})$ is a Hamiltonian graph.
New Oscillation Tests And Some Refinements For First-Order Delay Dynamic Equations, Başak Karpuz, Özkan Öcalan
New Oscillation Tests And Some Refinements For First-Order Delay Dynamic Equations, Başak Karpuz, Özkan Öcalan
Turkish Journal of Mathematics
In this paper, we present new sufficient conditions for the oscillation of first-order delay dynamic equations on time scales. We also present some examples to which none of the previous results in the literature can apply.
Veronese Transform And Castelnuovo-Mumford Regularity Of Modules, Marcel Morales, Nguyen Thi Dung
Veronese Transform And Castelnuovo-Mumford Regularity Of Modules, Marcel Morales, Nguyen Thi Dung
Turkish Journal of Mathematics
Veronese rings, Segre embeddings, or more generally Segre--Veronese embeddings are very important rings in algebraic geometry. In this paper we present an original, elementary way to compute the Hilbert--Poincar\'e series of these rings; as a consequence we compute their Castelnuovo--Mumford regularity and also the highest graded Betti number. Moreover, using the Castelnuovo--Mumford regularity of a Cohen--Macaulay finitely generated graded module, we compute that of its Veronese transforms.
An Improved Singular Trudinger-Moser Inequality In Dimension Two, Anfeng Yuan, Zhiyong Huang
An Improved Singular Trudinger-Moser Inequality In Dimension Two, Anfeng Yuan, Zhiyong Huang
Turkish Journal of Mathematics
Let $\Omega\subset\mathbb{R}^2$ be a smooth bounded domain and $W_0^{1,2}(\Omega)$ be the usual Sobolev space. Let $\beta$, $0\leq\beta1$, $$\lambda_{p,\beta}(\Omega)=\inf_{u\in W_0^{1,2}(\Omega),\,u\not\equiv 0}{\ \nabla u\ _2^2}/{\ u\ _{p,\beta}^2},$$ where $\ \cdot\ _2$ denotes the standard $L^2$-norm in $\Omega$ and $\ u\ _{p,\beta}=({\int_{\Omega} x ^{-\beta} u ^pdx})^{1/p}$. Suppose that $\gamma$ satisfies $\f{\gamma}{4\pi}+\f{\beta}{2}=1$. Using a rearrangement argument, the author proves that $$\sup_{u\in W_0^{1,2}(\Omega), \ \nabla u\ _2\leq 1}\int_{\Omega} x ^{-\beta}e^{\gamma u^2 \le(1+\alpha\ u\ _{p,\beta}^2\ri) }dx$$ is finite for any $\alpha$, $0\leq\alpha
On $*$-Commuting Mappings And Derivations In Rings With Involution, Nadeem Ahmad Dar, Shakir Ali
On $*$-Commuting Mappings And Derivations In Rings With Involution, Nadeem Ahmad Dar, Shakir Ali
Turkish Journal of Mathematics
Let $R$ be a ring with involution $*$. A mapping $f:R\rightarrow R$ is said to be $*$-commuting on $R$ if $[f(x),x^*]=0$ holds for all $x\in R$. The purpose of this paper is to describe the structure of a pair of additive mappings that are $*$-commuting on a semiprime ring with involution. Furthermore, we study the commutativity of prime rings with involution satisfying any one of the following conditions: (i) $[d(x),d(x^*)]=0,$ (ii) $d(x)\circ d(x^*)=0$, (iii) $d([x,x^*])\pm [x,x^*]=0$ (iv) $d(x\circ x^*)\pm (x\circ x^*)=0,$ (v) $d([x,x^*])\pm (x\circ x^*)=0$, (vi) $d(x\circ x^*)\pm [x,x^*]=0$, where $d$ is a nonzero derivation of $R$. Finally, an example …
Overall Approach To Mizoguchi--Takahashi Type Fixed Point Results, Gülhan Minak, İshak Altun
Overall Approach To Mizoguchi--Takahashi Type Fixed Point Results, Gülhan Minak, İshak Altun
Turkish Journal of Mathematics
In this work, inspired by the recent technique of Jleli and Samet, we give a new generalization of the well-known Mizoguchi--Takahashi fixed point theorem, which is the closest answer to Reich's conjecture about the existence of fixed points of multivalued mappings on complete metric spaces. We also provide a nontrivial example showing that our result is a proper generalization of the Mizoguchi--Takahashi result.
On The Comaximal Ideal Graph Of A Commutative Ring, Mehrdad Azadi, Zeinab Jafari, Changiz Eslahchi
On The Comaximal Ideal Graph Of A Commutative Ring, Mehrdad Azadi, Zeinab Jafari, Changiz Eslahchi
Turkish Journal of Mathematics
Let $R$ be a commutative ring with identity. We use $\Gamma ( R )$ to denote the comaximal ideal graph. The vertices of $\Gamma ( R )$ are proper ideals of R that are not contained in the Jacobson radical of $R$, and two vertices $I$ and $J$ are adjacent if and only if $I + J = R$. In this paper we show some properties of this graph together with the planarity and perfection of $\Gamma ( R )$.
Generalized Bertrand Curves With Spacelike $\Left(1,3\Right) $-Normal Plane In Minkowski Space-Time, Ali̇ Uçum, Osman Keçi̇li̇oğlu, Kazim İlarslan
Generalized Bertrand Curves With Spacelike $\Left(1,3\Right) $-Normal Plane In Minkowski Space-Time, Ali̇ Uçum, Osman Keçi̇li̇oğlu, Kazim İlarslan
Turkish Journal of Mathematics
In this paper, we reconsider the $(1,3)$-Bertrand curves with respect to the casual characters of a $\left( 1,3\right) $-normal plane that is a plane spanned by the principal normal and the second binormal vector fields of the given curve. Here, we restrict our investigation of $(1,3)$-Bertrand curves to the spacelike $\left( 1,3\right) $-normal plane in Minkowski space-time. We obtain the necessary and sufficient conditions for the curves with spacelike $\left( 1,3\right) $-normal plane to be $(1,3)$-Bertrand curves and we give the related examples for these curves.
A Contribution To The Analysis Of A Reduction Algorithm For Groups With An Extraspecial Normal Subgroup, Abdullah Çağman, Nurullah Ankaralioğlu
A Contribution To The Analysis Of A Reduction Algorithm For Groups With An Extraspecial Normal Subgroup, Abdullah Çağman, Nurullah Ankaralioğlu
Turkish Journal of Mathematics
Reduction algorithms are an important tool for understanding structural properties of groups. They play an important role in algorithms designed to investigate matrix groups over a finite field. One such algorithm was designed by Brooksbank et al. for members of the class $C_6$ in Aschbacher's theorem, namely groups $N$ that are normalizers in $GL(d,q)$ of certain absolutely irreducible symplectic-type $r$-groups $R$, where $r$ is a prime and $d=r^n$ with $n>2$. However, the analysis of this algorithm has only been completed when $d=r^2$ and when $d=r^n$ and $n>2$, in the latter case under the condition that $G/RZ(G)\cong N/RZ(N)$. We …
Existence And Nonexistence Of Sign-Changing Solutions To Elliptic Critical Equations, Mokhless Hammami, Houria Ismail
Existence And Nonexistence Of Sign-Changing Solutions To Elliptic Critical Equations, Mokhless Hammami, Houria Ismail
Turkish Journal of Mathematics
We consider the nonlinear equation $ -\Delta u = u ^{p-1}u -\varepsilon u \quad \mbox{in } \Omega , u =0 \quad \mbox{on } \partial \Omega ,$ where $\Omega $ is a smooth bounded domain in $\mathbb{R}^n$, $n \geq 4$, $ \varepsilon$ is a small positive parameter, and $p=(n+2)/(n-2)$. We study the existence of sign-changing solutions that concentrate at some points of the domain. We prove that this problem has no solutions with one positive and one negative bubble. Furthermore, for a family of solutions with exactly two positive bubbles and one negative bubble, we prove that the limits of the …
Anti-Invariant Riemannian Submersions From Kenmotsu Manifolds Onto Riemannian Manifolds, Ayşe Beri̇, İrem Küpeli̇ Erken, Cengi̇zhan Murathan
Anti-Invariant Riemannian Submersions From Kenmotsu Manifolds Onto Riemannian Manifolds, Ayşe Beri̇, İrem Küpeli̇ Erken, Cengi̇zhan Murathan
Turkish Journal of Mathematics
The purpose of this paper is to study anti-invariant Riemannian submersions from Kenmotsu manifolds onto Riemannian manifolds. Several fundamental results in this respect are proved. The integrability of the distributions and the geometry of foliations are investigated. We proved the nonexistence of (anti-invariant) Riemannian submersions from Kenmotsu manifolds onto Riemannian manifolds such that the characteristic vector field $\xi $ is a vertical vector field. We gave a method to get horizontally conformal submersion examples from warped product manifolds onto Riemannian manifolds. Furthermore, we presented an example of anti-invariant Riemannian submersions in the case where the characteristic vector field $\xi $ …
$H$-Admissible Fourier Integral Operators, Chafika Amel Aitemrar, Abderrahmane Senoussaoui
$H$-Admissible Fourier Integral Operators, Chafika Amel Aitemrar, Abderrahmane Senoussaoui
Turkish Journal of Mathematics
We study in this work a class of $h$-admissible Fourier integral operators. These operators are bounded (respectively compact) in $L^{2}$ if the weight of the amplitude is bounded (respectively tends to 0).
Uniqueness Of $P(F)$ And $P[F]$, Kuldeep Singh Charak, Banarsi Lal
Uniqueness Of $P(F)$ And $P[F]$, Kuldeep Singh Charak, Banarsi Lal
Turkish Journal of Mathematics
Let $f$ be a nonconstant meromorphic function, $a (\not\equiv 0, \infty)$ be a meromorphic function satisfying $T(r,a) = o(T(r,f))$ as $r \rightarrow \infty$, and $p(z)$ be a polynomial of degree $n \geq 1$ with $p(0) = 0$. Let $P[f]$ be a nonconstant differential polynomial of $f$. Under certain essential conditions, we prove that $p(f) \equiv P[f]$, when $p(f)$ and $P[f]$ share $a$ with weight $l \geq 0$. Our result generalizes the results due to Zhang and L$\ddot{\text{u}}$, Banerjee and Majumdar, and Bhoosnurmath and Kabbur and answers a question asked by Zhang and L$\ddot{\text{u}}$.
Pointwise Slant Submersions From Cosymplectic Manifolds, Sezi̇n Aykurt Sepet, Mahmut Ergüt
Pointwise Slant Submersions From Cosymplectic Manifolds, Sezi̇n Aykurt Sepet, Mahmut Ergüt
Turkish Journal of Mathematics
In this paper, we characterize the pointwise slant submersions from cosymplectic manifolds onto Riemannian manifolds and give several examples.
On A Question About Almost Prime Ideals, Esmaeil Rostami, Reza Nekooei
On A Question About Almost Prime Ideals, Esmaeil Rostami, Reza Nekooei
Turkish Journal of Mathematics
In this paper, by giving an example we answer positively the question ``Does there exist a $P$-primary ideal $I$ in a Noetherian domain $R$ such that $PI = I^2$, but $I$ is not almost prime?", asked by S. M. Bhatwadekar and P. K. Sharma. We also investigated conditions under which the answer to the above mentioned question is negative.
Further Results On Edge - Odd Graceful Graphs, Mohammed Seoud, Maher Salim
Further Results On Edge - Odd Graceful Graphs, Mohammed Seoud, Maher Salim
Turkish Journal of Mathematics
wheel $W_n$, for $n\equiv 1,\ 2$ and $3\ mod\ 4$; $C_n\bigodot\bar{K}_{2m-1}$; even helms; $P_n\bigodot\bar{K}_{2m}$ and $K_{2,s}$. Also we present two theorems of non edge - odd graceful graphs and an idea to label complete graphs.
Some Topological Properties Of The Spaces Of Almost Null Andalmost Convergent Double Sequences, Medi̇ne Yeşi̇lkayagi̇l, Feyzi̇ Başar
Some Topological Properties Of The Spaces Of Almost Null Andalmost Convergent Double Sequences, Medi̇ne Yeşi̇lkayagi̇l, Feyzi̇ Başar
Turkish Journal of Mathematics
Let $\mathcal{C}_{f_0}$ and $\mathcal{C}_{f}$ denote the spaces of almost null and almost convergent double sequences, respectively. We show that $\mathcal{C}_{f_0}$ and $\mathcal{C}_{f}$ are BDK-spaces, barreled and bornological, but they are not monotone and so not solid. Additionally, we establish that both of the spaces $\mathcal{C}_{f_0}$ and $\mathcal{C}_{f}$ include the space $\mathcal{BS}$ of bounded double series.
The Reversibility Problem For A Family Of Two-Dimensional Cellular Automata, Mehmet Emi̇n Köroğlu, İrfan Şi̇ap, Hasan Akin
The Reversibility Problem For A Family Of Two-Dimensional Cellular Automata, Mehmet Emi̇n Köroğlu, İrfan Şi̇ap, Hasan Akin
Turkish Journal of Mathematics
In this paper the reversibility problem of a family of two-dimensional cellular automata is completely resolved. It is well known that the reversibility problem is a very difficult one in general. In order to determine whether a cellular automaton is reversible or not the reversibility of its rule matrix is studied via linear algebraic tools. However, in this particular study the authors consider a novel approach. By observing the algebraic structures of rule matrices that represent these families and associating them with polynomials in two variables in a quotient ring, the solution to the reversibility problem is simplified greatly. Hence, …
Square Root Central Difference-Based Fastslam Approach Improved By Differential Evolution, Haydar Ankişhan, Fi̇kret Ari, Emre Öner Tartan, Ahmet Güngör Pakfi̇li̇z
Square Root Central Difference-Based Fastslam Approach Improved By Differential Evolution, Haydar Ankişhan, Fi̇kret Ari, Emre Öner Tartan, Ahmet Güngör Pakfi̇li̇z
Turkish Journal of Electrical Engineering and Computer Sciences
This study presents a new approach to improve the performance of FastSLAM. The aim of the study is to obtain a more robust algorithm for FastSLAM applications by using a Kalman filter that uses Stirling's polynomial interpolation formula. In this paper, some new improvements have been proposed; the first approach is the square root central difference Kalman filter-based FastSLAM, called SRCD-FastSLAM. In this method, autonomous vehicle (or robot) position, landmarks' position estimations, and importance weight calculations of the particle filter are provided by the SRCD-Kalman filter. The second approach is an improved version of the SRCD-FastSLAM in which particles are …
Strike-Slip Neotectonic Regime And Related Structures In The Cappadocia Region: A Case Study In The Salanda Basin, Central Anatolia, Turkey, Ali̇ Koçyi̇ği̇t, Uğur Doğan
Strike-Slip Neotectonic Regime And Related Structures In The Cappadocia Region: A Case Study In The Salanda Basin, Central Anatolia, Turkey, Ali̇ Koçyi̇ği̇t, Uğur Doğan
Turkish Journal of Earth Sciences
The study area is a strike-slip basin of approximately 1-9 km wide, 66 km long and N65°W trending, located between the historical Kesikköprü in the west and the Sarıhıdır settlement in the east along the northern side of the Central Anatolian Volcanic Province. It was evolved on a regional erosional surface of a pre-Quaternary volcanosedimentary sequence during Quaternary. This is evidenced by the stratigraphical, structural, and seismic data. The total amounts of throw and dextral strike-slip displacement accumulated on the basin-boundary faults during the evolutionary history of the basin are 178 m and 5 km, respectively. The average slip rate …
Tourism Demand Modelling And Forecasting Using Data Mining Techniques In Multivariate Time Series: A Case Study In Turkey, Selçuk Cankurt, Abdülhami̇t Subaşi
Tourism Demand Modelling And Forecasting Using Data Mining Techniques In Multivariate Time Series: A Case Study In Turkey, Selçuk Cankurt, Abdülhami̇t Subaşi
Turkish Journal of Electrical Engineering and Computer Sciences
In this study multiple linear regression, multilayer perceptron (MLP) regression, and support vector regression (SVR) are used to make multivariate tourism forecasting for Turkey. This paper is a comparative study of data mining techniques based on multivariate regression modelling with monthly data points to forecast tourism demand; it focuses on Turkey. Both MLP and SVR methods are widely employed in the variety forecasting problems. Most of the previous research on tourism forecasting used univariate time series or a limited number of variables with mostly yearly or quarterly, and rarely monthly frequencies. However, the application of data mining techniques for multivariate …