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- Bi-univalent functions (3)
- Riemannian submersion (3)
- $m$-fold symmetric bi-univalent functions (2)
- Clique number (2)
- Conformal submersion (2)
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- Convex function (2)
- Cosymplectic manifold (2)
- Derivation (2)
- Determinant (2)
- Eigenvalue (2)
- Fixed point (2)
- Generalized Drazin inverse (2)
- Idempotent (2)
- Meromorphic functions (2)
- Noetherian domain (2)
- Perfect graph (2)
- Primary ideal (2)
- Prime ideal (2)
- Time scales (2)
- Univalent functions (2)
- Warped product (2)
- Zeilberger's algorithm (2)
- Zero-divisor graph (2)
- $% \theta $-contraction (1)
- $(n (1)
- $*$-commuting mapping (1)
- $2$-absorbing submodule (1)
- $4$-manifold (1)
- $A$-density (1)
- $H_v$-module (1)
Articles 31 - 60 of 120
Full-Text Articles in Physical Sciences and Mathematics
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.
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, …
Coefficient Bounds For Subclasses Of M-Fold Symmetric Bi-Univalent Functions, Sevtap Sümer Eker
Coefficient Bounds For Subclasses Of M-Fold Symmetric Bi-Univalent Functions, Sevtap Sümer Eker
Turkish Journal of Mathematics
In this study, we introduce and investigate two new subclasses of the bi-univalent functions; both $f(z)$ and $f^{-1}(z)$ are m-fold symmetric analytic functions. Among other results, upper bounds for the coefficients $\left a_{m+1}\right $ and $\left a_{2m+1}\right $ are found in this investigation.
Rectifying Curves In The $N$-Dimensional Euclidean Space, Stijn Cambie, Wendy Goemans, Iris Van Den Bussche
Rectifying Curves In The $N$-Dimensional Euclidean Space, Stijn Cambie, Wendy Goemans, Iris Van Den Bussche
Turkish Journal of Mathematics
In this article, we study the so-called rectifying curves in an arbitrary dimensional Euclidean space. A curve is said to be a rectifying curve if, in all points of the curve, the orthogonal complement of its normal vector contains a fixed point. If this fixed point is chosen to be the origin, then this condition is equivalent to saying that the position vector of the curve in every point lies in the orthogonal complement of its normal vector. Here we characterize rectifying curves in the $n$-dimensional Euclidean space in different ways: using conditions on their curvatures, with an expression for …
Harmonic Functions And Quadratic Harmonic Morphisms On Walker Spaces, Cornelia-Livia Bejan, Simona-Luiza Druta-Romaniuc
Harmonic Functions And Quadratic Harmonic Morphisms On Walker Spaces, Cornelia-Livia Bejan, Simona-Luiza Druta-Romaniuc
Turkish Journal of Mathematics
Let $(W,q, \mathcal{D})$ be a 4-dimensional Walker manifold. After providing a characterization and some examples for several special $(1,1)$-tensor fields on $(W,q, \mathcal{D})$, we prove that the proper almost complex structure $J$, introduced by Matsushita, is harmonic in the sense of Garcia-Rio et al. if and only if the almost Hermitian structure $(J,q)$ is almost Kahler. We classify all harmonic functions locally defined on $(W,q, \mathcal{D})$. We deal with the harmonicity of quadratic maps defined on $\mathbb{R}^4$ (endowed with a Walker metric $q$) to the $n$-dimensional semi-Euclidean space of index $r$, and then between local charts of two 4-dimensional Walker …
Point-Wise Slant Submanifolds In Almost Contact Geometry, Mohammad Bagher Kazemi Balgeshir
Point-Wise Slant Submanifolds In Almost Contact Geometry, Mohammad Bagher Kazemi Balgeshir
Turkish Journal of Mathematics
In this paper, we introduce point-wise slant submanifolds of almost contact and almost contact 3-structure manifolds. We characterize them, give some examples, and obtain necessary and sufficient conditions for a point-wise slant submanifold of a 3-Sasakian manifold to be a slant submanifold. Moreover, we show that there exist no proper Sasakian point-wise 3-slant submanifolds.
Structural Stability Analysis Of Solutions To The Initial Boundary Value Problem For A Nonlinear Strongly Damped Wave Equation, Şevket Gür, İpek Güleç
Structural Stability Analysis Of Solutions To The Initial Boundary Value Problem For A Nonlinear Strongly Damped Wave Equation, Şevket Gür, İpek Güleç
Turkish Journal of Mathematics
In this paper the initial-boundary value problem for a nonlinear strongly damped wave equation is considered. We analyze the structural stability of solutions of the nonlinear strongly damped wave equation with coefficients from $H^1(\Omega)$.
Invariant Structures And Gauge Transformation Of Almost Contact Metric Manifolds, Morteza Mirmohammad Rezaii, Mehrnoosh Zandi
Invariant Structures And Gauge Transformation Of Almost Contact Metric Manifolds, Morteza Mirmohammad Rezaii, Mehrnoosh Zandi
Turkish Journal of Mathematics
In this paper, conditions for K-contact, Sasakian, and cosymplectic structures to be invariant under gauge transformation are found. Moreover, the same question is studied for 3-Sasakian, 3-almost contact, and 3-cosymplectic manifolds. Finally, it is shown that a slant submanifold of an almost contact metric manifold is invariant by gauge transformation.
Primary And Biprimary Class Sizes Implying Nilpotency Of Finite Groups, Qinhui Jiang, Changguo Shao
Primary And Biprimary Class Sizes Implying Nilpotency Of Finite Groups, Qinhui Jiang, Changguo Shao
Turkish Journal of Mathematics
Let $G$ be a finite group. We prove that $G$ is nilpotent if the set of conjugacy class sizes of primary and bipirimary elements is $\{1,m,n,mn\}$ with $m$ and $n$ coprime. Moreover, $m$ and $n$ are distinct primes power.
Representations For Generalized Drazin Inverse Of Operator Matrices Over A Banach Space, Daochang Zhang
Representations For Generalized Drazin Inverse Of Operator Matrices Over A Banach Space, Daochang Zhang
Turkish Journal of Mathematics
In this paper we give expressions for the generalized Drazin inverse of a (2,2,0) operator matrix and a $2\times2$ operator matrix under certain circumstances, which generalizes and unifies several results in the literature.
On The Asymptotic Criterion For The Zero-Free Regions Of Certain $L$-Functions, Almasa Odzak
On The Asymptotic Criterion For The Zero-Free Regions Of Certain $L$-Functions, Almasa Odzak
Turkish Journal of Mathematics
We investigate relations between zero-free regions of certain $L$-functions and the asymptotic behavior of corresponding generalized Li coefficients. Precisely, we prove that violation of the $\tau/2$-generalized Riemann hypothesis implies oscillations of corresponding $\tau$-Li coefficients with exponentially growing amplitudes. Results are obtained for class $\shfs$ that contains the Selberg class, the class of all automorphic $L$-functions, the Rankin--Selberg $L$-functions, and products of suitable shifts of the mentioned functions.
On Coprimely Structured Rings, Nesli̇han Ayşen Özki̇ri̇şci̇, Kürşat Hakan Oral, Ünsal Teki̇r
On Coprimely Structured Rings, Nesli̇han Ayşen Özki̇ri̇şci̇, Kürşat Hakan Oral, Ünsal Teki̇r
Turkish Journal of Mathematics
In this paper, we define coprimely structured rings, which are the generalization of strongly 0-dimensional rings. Furthermore, we investigate coprimely structured rings and give some relations between other rings such as Artinian rings, strongly 0-dimensional rings, and h-local domains.
Almost Co-K\"{A}Hler Manifolds Satisfying Some Symmetry Conditions, Yaning Wang
Almost Co-K\"{A}Hler Manifolds Satisfying Some Symmetry Conditions, Yaning Wang
Turkish Journal of Mathematics
Let $M^{2n+1}$ be an almost co-K\"{a}hler manifold of dimension $>3$ with K\"{a}hlerian leaves. In this paper, we first prove that if $M^{2n+1}$ is locally symmetric, then either it is a co-K\"{a}hler manifold with locally symmetric K\"{a}hlerian leaves, or the Reeb vector field $\xi$ is harmonic and in this case $M^{2n+1}$ is non-co-K\"{a}hler. We also prove that any almost co-K\"{a}hler manifold of dimension $3$ is $\phi$-symmetric if and only if it is locally isometric to either a flat Euclidean space $\mathbb{R}^3$ or a Riemannian product $\mathbb{R}\times N^2(c)$, where $N^2(c)$ denotes a K\"{a}hler surface of constant curvature $c\neq0$.
Global Regularity For Unsteady Flow Of Third Grade Fluid In An Annular Region, Saeed Ur Rahman, Tasawar Hayat, Hamed H. Alsulami
Global Regularity For Unsteady Flow Of Third Grade Fluid In An Annular Region, Saeed Ur Rahman, Tasawar Hayat, Hamed H. Alsulami
Turkish Journal of Mathematics
This article develops global regularity criteria for unsteady and magnetohydrodynamic flow of third grade fluid in terms of bounded mean oscillations. Uniqueness of the solution is also verified.
Fourth-Order Birkhoff Regular Problems With Eigenvalue Parameter Dependent Boundary Conditions, Bertin Zinsou
Fourth-Order Birkhoff Regular Problems With Eigenvalue Parameter Dependent Boundary Conditions, Bertin Zinsou
Turkish Journal of Mathematics
A regular fourth-order differential equation that depends quadratically on the eigenvalue parameter $\lambda$ is considered with classes of separable boundary conditions independent of $\lambda$ or depending on $\lambda$ linearly. Conditions are given for the problems to be Birkhoff regular.
On The Evolute Offsets Of Ruled Surfaces In Minkowski 3-Space, Dae Won Yoon
On The Evolute Offsets Of Ruled Surfaces In Minkowski 3-Space, Dae Won Yoon
Turkish Journal of Mathematics
In this paper, we classify evolute offsets of a ruled surface in Minkowski 3-space $\Bbb L^3$ with constant Gaussian curvature and mean curvature. As a result, we investigate linear Weingarten evolute offsets of a ruled surface in $\Bbb L^3$.
The Inclusion Theorems For Variable Exponent Lorentz Spaces, Öznur Kulak
The Inclusion Theorems For Variable Exponent Lorentz Spaces, Öznur Kulak
Turkish Journal of Mathematics
Let $\left( \text{X,}\Sigma ,\mu \right) $ and $\left( \text{X,}\Sigma ,\nu \right) $ be measure spaces. Assume that $L^{p_{1}\left( .\right) ,q_{1}\left( .\right) }\left( X,\mu \right) $ and $L^{p_{2}\left( .\right) ,q_{2}\left( .\right) }\left( X,\nu \right) $ are two variable exponent Lorentz spaces where $p,q\in P_{0}\left( \left[ 0,l\right] \right) $. In this paper we investigated the existence of the inclusion $L^{p_{1}\left( .\right) ,q_{1}\left( .\right) }\left( X,\mu \right) $ $\subset L^{p_{2}\left( .\right) ,q_{2}\left( .\right) }\left( X,\nu \right) $ under what conditions for two measures $\mu $ and $\nu $ on $\left( X,\Sigma \right) .$
Bounds For The Second Hankel Determinant Of Certain Bi-Univalent Functions, Hali̇t Orhan, Nanjundan Magesh, Jagadeesan Yamini
Bounds For The Second Hankel Determinant Of Certain Bi-Univalent Functions, Hali̇t Orhan, Nanjundan Magesh, Jagadeesan Yamini
Turkish Journal of Mathematics
We investigate the second Hankel determinant inequalities for a certain class of analytic and bi-univalent functions. Some interesting applications of the results presented here are also discussed.
Generalizations Of 2-Absorbing Primaryideals Of Commutative Rings, Ayman Badawi, Ünsal Teki̇r, Emel Aslankarayi̇ği̇t Uğurlu, Gülşen Ulucak, Ece Yetki̇n Celi̇kel
Generalizations Of 2-Absorbing Primaryideals Of Commutative Rings, Ayman Badawi, Ünsal Teki̇r, Emel Aslankarayi̇ği̇t Uğurlu, Gülşen Ulucak, Ece Yetki̇n Celi̇kel
Turkish Journal of Mathematics
ideals of $R$. In this paper, we extend the concept of 2-absorbing primary ideals to the context of $\phi $-2-absorbing primary ideals. Let $\phi :S(R)\rightarrow S(R)\cup \emptyset $ be a function. A proper ideal $I$ of $% R $ is said to be a $\phi $-2-absorbing primary ideal of $R$ if whenever $% a,b,c\in R$ with $abc\in I-\phi (I)$ implies $ab\in I$ or $ac\in \sqrt{I}$ or $bc\in \sqrt{I}$. A number of results concerning $\phi $-2-absorbing primary ideals are given.
The Relation Between Rough Wijsman Convergence And Asymptotic Cones, Öznur Ölmez, Sali̇h Aytar
The Relation Between Rough Wijsman Convergence And Asymptotic Cones, Öznur Ölmez, Sali̇h Aytar
Turkish Journal of Mathematics
In this paper, we explore the effect of the asymptotic cone of the limit set of a sequence that is rough Wijsman convergent.
Derivation-Homomorphisms, Lingyue Li, Xiaowei Xu
Derivation-Homomorphisms, Lingyue Li, Xiaowei Xu
Turkish Journal of Mathematics
In this paper, we introduce notions of $(n,m)$-derivation-homomorphisms and Boolean $n$-derivations. Using Boolean $n$-derivations and $m$-homomorphisms, we describe structures of $(n, m)$-derivation-homomorphisms.
Explicit Estimates On A Mixed Neumann-Robin-Cauchy Problem, Luisa Consiglieri
Explicit Estimates On A Mixed Neumann-Robin-Cauchy Problem, Luisa Consiglieri
Turkish Journal of Mathematics
We deal with the existence of weak solutions for a mixed Neumann-Robin-Cauchy problem. The existence results are based on global-in-time estimates of approximating solutions, and the passage to the limit exploits compactness techniques. We investigate explicit estimates for solutions of the parabolic equations with nonhomogeneous boundary conditions and distributional right-hand sides. The parabolic equation is of divergence form with discontinuous coefficients. We consider a nonlinear condition on a part of the boundary such that the power laws (and the Robin boundary condition) appear as particular cases.
On The Nphss-Kpik Iteration Method For Low-Rank Complex Sylvester Equations Arising From Time-Periodic Fractional Diffusion Equations, Min-Li Zeng, Guo-Feng Zhang
On The Nphss-Kpik Iteration Method For Low-Rank Complex Sylvester Equations Arising From Time-Periodic Fractional Diffusion Equations, Min-Li Zeng, Guo-Feng Zhang
Turkish Journal of Mathematics
Based on the Hermitian and skew-Hermitian (HS) splitting for non-Hermitian matrices, a nonalternating preconditioned Hermitian and skew-Hermitian splitting-Krylov plus inverted Krylov subspace (NPHSS-KPIK) iteration method for solving a class of large and low-rank complex Sylvester equations arising from the two-dimensional time-periodic fractional diffusion problem is established. The local convergence condition is proposed and the optimal parameter is given. Numerical experiments are used to show the efficiency of the NPHSS-KPIK iteration method for solving the Sylvester equations arising from the time-periodic fractional diffusion equations.
Approximation Of $B$-Continuous And $B$-Differentiable Functions By Gbs Operators Of $Q$-Bernstein-Schurer-Stancu Type, Manjari Sidharth, Nurhayat İspi̇r, Purshottam Narain Agrawal
Approximation Of $B$-Continuous And $B$-Differentiable Functions By Gbs Operators Of $Q$-Bernstein-Schurer-Stancu Type, Manjari Sidharth, Nurhayat İspi̇r, Purshottam Narain Agrawal
Turkish Journal of Mathematics
B&acaron;rbosu and Muraru (2015) introduced the bivariate generalization of the $q$-Bernstein-Schurer-Stancu operators and constructed a GBS operator of $q$-Bernstein-Schurer-Stancu type. The concern of this paper is to obtain the rate of convergence in terms of the partial and complete modulus of continuity and the degree of approximation by means of Lipschitz-type class for the bivariate operators. In the last section we estimate the degree of approximation by means of Lipschitz class function and the rate of convergence with the help of mixed modulus of smoothness for the GBS operator of $q$-Bernstein-Schurer-Stancu type. Furthermore, we show comparisons by some illustrative graphics …
Uniqueness Of Entire Graphs In Riemannian Warped Products, Junhong Dong, Ximin Liu
Uniqueness Of Entire Graphs In Riemannian Warped Products, Junhong Dong, Ximin Liu
Turkish Journal of Mathematics
In this paper, by applying the generalized Omori-Yau maximum principle for complete spacelike hypersurfaces in warped product spaces, we obtain the sign relationship between the derivative of warping function and support function. Afterwards, by using this result and imposing suitable restrictions on the higher order mean curvatures, we establish uniqueness results for the entire graph in a Riemannian warped product space, which has a strictly monotone warping function. Furthermore, applications to such a space are given.
Erratum To "The Geometry Of Hemi-Slant Submanifolds Of A Locally Product Riemannian Manifold", Hakan Mete Taştan, Fatma Özdemi̇r
Erratum To "The Geometry Of Hemi-Slant Submanifolds Of A Locally Product Riemannian Manifold", Hakan Mete Taştan, Fatma Özdemi̇r
Turkish Journal of Mathematics
No abstract provided.
Highly Non-Concurrent Longest Paths In Lattices, Yasir Bashir, Faisal Nadeem, Ayesha Shabbir
Highly Non-Concurrent Longest Paths In Lattices, Yasir Bashir, Faisal Nadeem, Ayesha Shabbir
Turkish Journal of Mathematics
In this paper we consider graphs in which any pair of vertices is missed by some longest path. We are proving the existence of such graphs in the infinite triangular, square and hexagonal lattices in the plane. Moreover, we extend our investigation to lattices on several surfaces such as the torus, the M\"obius strip and the Klein bottle.
Abundance Of $E$-Order-Preserving Transformation Semigroups, Lei Sun, Xuefeng Han
Abundance Of $E$-Order-Preserving Transformation Semigroups, Lei Sun, Xuefeng Han
Turkish Journal of Mathematics
Let ${\cal T}_X$ be the full transformation semigroup on a finite totally ordered set $X=\{1<2<\ldots
Homothetic Motions With Dual Octonions In Dual $8-$Space, Hesna Kabadayi
Homothetic Motions With Dual Octonions In Dual $8-$Space, Hesna Kabadayi
Turkish Journal of Mathematics
In this study, for dual octonions in dual $8-$space $D^{8}$ over the domain of coefficients $D,$ we give a matrix that is similar to a Hamilton operator. By means of this matrix a new motion is defined and this motion is proven to be homothetic. For this one parameter dual homothetic motion, we prove some theorems about dual velocities, dual pole points, and dual pole curves. Furthermore, after defining dual accelerations, we show that the motion defined by the regular order $m$ dual curve, at every $t$-instant, has only one acceleration center of order $\left( m-1\right) .$
Notes On Cotorsion Dimension Of Hopf--Galois Extensions, Xiaoyan Zhou, Min Wei
Notes On Cotorsion Dimension Of Hopf--Galois Extensions, Xiaoyan Zhou, Min Wei
Turkish Journal of Mathematics
Let $H$ be a finite dimensional Hopf algebra over a field $k$ and $A/B$ be a right $H$-Galois extension. In this note the relationship of cotorsion dimensions between $A$ and $B$ will be studied. We prove that $\mbox{r.cot.D}(A)\leq\mbox{r.cot.D}(B)+\mbox{l.D}(H)$. Moreover, we give some sufficient conditions for which $\mbox{r.cot.D}(A)=\mbox{r.cot.D}(B)$. As applications, we obtain some results about cotorsion dimension of the smash product.