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Articles 121 - 150 of 169
Full-Text Articles in Physical Sciences and Mathematics
Polarization Of Neural Codes, Katie Christensen, Hamid Kulosman
Polarization Of Neural Codes, Katie Christensen, Hamid Kulosman
Turkish Journal of Mathematics
The neural rings and ideals as an algebraic tool for analyzing the intrinsic structure of neural codes were introduced by C. Curto, V. Itskov, A. Veliz-Cuba, and N. Youngs in 2013. Since then they were investigated in several papers, including the 2017 paper by S. Güntürkün, J. Jeffries, and J. Sun, in which the notion of polarization of neural ideals was introduced. In our paper we extend their ideas by introducing the notions of polarization of motifs and neural codes. We show that the notions that we introduce have very nice properties which allow the studying of the intrinsic structure …
Locally $D_\Delta$-Connected And Locally $D_\Delta$-Compact Spaces, Harshit Mathur, Davinder Singh
Locally $D_\Delta$-Connected And Locally $D_\Delta$-Compact Spaces, Harshit Mathur, Davinder Singh
Turkish Journal of Mathematics
The local analogues of the notions of $d_\delta$-connectedness and $D_\delta$-compactness of a topological space are introduced, and are named respectively, locally $d_\delta$-connectedness and locally $D_\delta$-compactness. Several properties including characterization of the concepts are discussed.
Ruled Surfaces Obtained By Bending Of Curves, Uğur Gözütok, Hüsnü Anil Çoban, Yasemi̇n Sağiroğlu
Ruled Surfaces Obtained By Bending Of Curves, Uğur Gözütok, Hüsnü Anil Çoban, Yasemi̇n Sağiroğlu
Turkish Journal of Mathematics
We consider a first-order infinitesimal bending of a curve in $\mathbb{R}^3$ to obtain a ruled surface. This paper investigates this kind of ruled surfaces and their properties. Also, we obtain conditions for ruled surfaces obtained by bending to be developable.
The Formulization Of The Intrinsic Metric On The Added Sierpinski Triangle By Using The Code Representations, Aslihan İkli̇m Şen, Mustafa Saltan
The Formulization Of The Intrinsic Metric On The Added Sierpinski Triangle By Using The Code Representations, Aslihan İkli̇m Şen, Mustafa Saltan
Turkish Journal of Mathematics
To formulate the intrinsic metrics by using the code representations of the points on the classical fractals is an important research area since these formulas help to prove many geometrical and structural properties of these fractals. In various studies, the intrinsic metrics on the code set of the Sierpinski gasket, the Sierpinski tetrahedron, and the Vicsek (box) fractal are explicitly formulated. However, in the literature, there are not many works on the intrinsic metric that is obtained by the code representations of the points on fractals. Moreover, as seen in the studies on this subject, the contraction coefficients of the …
On Orthomorphism Elements In Ordered Algebra, Bahri̇ Turan, Hüma Gürkök
On Orthomorphism Elements In Ordered Algebra, Bahri̇ Turan, Hüma Gürkök
Turkish Journal of Mathematics
Let C be an ordered algebra with a unit e. The class of orthomorphism elements Orthe(C) of C was introduced and studied by Alekhno in "The order continuity in ordered algebras". If C = L(G), where G is a Dedekind complete Riesz space, this class coincides with the band Orth(G) of all orthomorphism operators on G. In this study, the properties of orthomorphism elements similar to properties of orthomorphism operators are obtained. Firstly, it is shown that if C is an ordered algebra such that $C_r$, the set of all regular elements of C, is a Riesz space with the …
On Connected Tetravalent Normal Edge-Transitive Cayley Graphs Of Non-Abelian Groups Of Order 5p2, Soghra Khazaei, Hesam Sharifi
On Connected Tetravalent Normal Edge-Transitive Cayley Graphs Of Non-Abelian Groups Of Order 5p2, Soghra Khazaei, Hesam Sharifi
Turkish Journal of Mathematics
Our aim in this paper is to investigate graph automorphism and group automorphism determining all connected tetravalent normal edge transitive Cayley graphs on non-Abelian groups of order 5p2 with respect to tetravalent sets and same-order elements, where p is a prime number and its Sylow p-subgroup is cyclic.
Some Results Of K-Frames And Their Multipliers, Mitra Shamsabadi, Ali Akbar Arefijamaal
Some Results Of K-Frames And Their Multipliers, Mitra Shamsabadi, Ali Akbar Arefijamaal
Turkish Journal of Mathematics
K-frames are strong tools for the reconstruction of elements from range of a bounded linear operator K on a separable Hilbert space H. In this paper, we study some properties of K-frames and introduce the K-frame multipliers. We also focus on representing elements from the range of K by K-frame multipliers.
Nonnull Curves With Constant Weighted Curvature In Lorentz-Minkowski Plane With Density, Mustafa Altin, Ahmet Kazan, Haci Bayram Karadağ
Nonnull Curves With Constant Weighted Curvature In Lorentz-Minkowski Plane With Density, Mustafa Altin, Ahmet Kazan, Haci Bayram Karadağ
Turkish Journal of Mathematics
In this paper, the parametric expressions of spacelike and timelike curves with constant weighted curvature for some cases of $a$ and $b$ in Lorentz-Minkowski plane with density $e^{ax+by}$ are obtained.
On Solvability Of Inverse Problem For One Equation Of Fourth Order, Aysel Ramazanova Telman Qizi, Yashar Mehreliyev Topush Oglu
On Solvability Of Inverse Problem For One Equation Of Fourth Order, Aysel Ramazanova Telman Qizi, Yashar Mehreliyev Topush Oglu
Turkish Journal of Mathematics
The work is devoted to study the existence and uniqueness of the classical solution of the inverse boundary value problem of determining the lowest coefficient in one fourth order equation. The original problem is reduced to an equivalent problem. The existence and uniqueness of the integral equation are proved by means of the contraction mappings principle, and we obtained that this solution is unique for a boundary value problem. Further, using these facts, we prove the existence and uniqueness of the classical solution for this problem.
Representations And Properties Of A New Family Of $\Omega$-Caputofractional Derivatives, Abdullah Akkurt, Joel Esteban Restrepo, Hüseyi̇n Yildirim
Representations And Properties Of A New Family Of $\Omega$-Caputofractional Derivatives, Abdullah Akkurt, Joel Esteban Restrepo, Hüseyi̇n Yildirim
Turkish Journal of Mathematics
In the most general case of $\omega$-weights, some normed functional spaces $% X_{\omega}^{p}(a,b)( 1\leq p\leq\infty)$, $AC_{\gamma,\omega}^n[a,b]$ and a generalization of the fractional integro-differentiation operator are introduced and analyzed. The boundedness of the $\omega$-weighted fractional operator over $X_{\omega}^{p}(a,b)$ is proved. Some theorems and lemmas on the properties of the invertions of the mentioned operator and several representations of functions from $AC_{\gamma,\omega}^n[a,b]$ are established. A general $\omega$-weighted Caputo fractional derivative of order $\alpha$ is studied over $AC_{\gamma,\omega}^n[a,b]$. Some representations and other properties of this fractional derivative are proved. Some conclusions are presented.
Existence Of Positive Solutions For Nonlinear Multipoint P-Laplacian Dynamic Equations On Time Scales, Abdülkadi̇r Doğan
Existence Of Positive Solutions For Nonlinear Multipoint P-Laplacian Dynamic Equations On Time Scales, Abdülkadi̇r Doğan
Turkish Journal of Mathematics
In this paper, we investigate the existence of positive solutions for nonlinear multipoint boundary value problems for p-Laplacian dynamic equations on time scales with the delta derivative of the nonlinear term. Sufficient assumptions are obtained for existence of at least twin or arbitrary even positive solutions to some boundary value problems. Our results are achieved by appealing to the fixed point theorems of Avery-Henderson. As an application, an example to demonstrate our results is given.
The Möbius Transformation Of Continued Fractions With Bounded Upper And Lower Partial Quotients, Wencai Liu
The Möbius Transformation Of Continued Fractions With Bounded Upper And Lower Partial Quotients, Wencai Liu
Turkish Journal of Mathematics
Let $h$: $x\mapsto \frac{ax+b}{cx+d} $ be the nondegenerate Möbius transformation with integer entries. We get a bound of the continued fraction of $h(x)$ by upper and lower bounds of the continued fraction of $x$.
The Fekete-Szegö Inequality For Subclasses Of Analytic Functions Related To Modified Sigmoid Functions, Muhammet Kamali̇, Hali̇t Orhan, Murat Çağlar
The Fekete-Szegö Inequality For Subclasses Of Analytic Functions Related To Modified Sigmoid Functions, Muhammet Kamali̇, Hali̇t Orhan, Murat Çağlar
Turkish Journal of Mathematics
In this paper, the authors investigate the initial coefficient bounds for a new generalized subclass of analytic functions related to Sigmoid functions. Also, the relevant connections with the famous classical Fekete?Szegö inequality for these classes are discussed.
An Improved Trudinger--Moser Inequality And Its Extremal Functions Involving $L^P$-Norm In $\Mathbb{R}^2$, Xiaomeng Li
An Improved Trudinger--Moser Inequality And Its Extremal Functions Involving $L^P$-Norm In $\Mathbb{R}^2$, Xiaomeng Li
Turkish Journal of Mathematics
Let $W^{1,2}(\mathbb{R}^2)$ be the standard Sobolev space. Denote for any real number $p>2$ \begin{align*}\lambda_{p}=\inf\limits_{u\in W^{1,2}(\mathbb{R}^2),u\not\equiv0}\frac{\int_{\mathbb{R}^{2}}( \nabla u ^2+ u ^2)dx}{(\int_{\mathbb{R}^{2}} u ^pdx)^{2/p}}. \end{align*} Define a norm in $W^{1,2}(\mathbb{R}^2)$ by \begin{align*}\ u\ _{\alpha,p}=\left(\int_{\mathbb{R}^{2}}( \nabla u ^2+ u ^2)dx-\alpha(\int_{\mathbb{R}^{2}} u ^pdx)^{2/p}\right)^{1/2}\end{align*} where $0\leq\alpha2$ and $0\leq\alpha
A New Solution To The Discontinuity Problem On Metric Spaces, Ufuk Çeli̇k, Ni̇hal Özgür
A New Solution To The Discontinuity Problem On Metric Spaces, Ufuk Çeli̇k, Ni̇hal Özgür
Turkish Journal of Mathematics
We study on the Rhoades' question concerning the discontinuity problem at fixed point for a self-mapping T of a metric space. We obtain a new solution to this question. Our result generalizes some recent theorems existing in the literature and implies the uniqueness of the fixed point. However, there are also cases where the fixed point set of a self-mapping contains more than 1 element. Therefore, by a geometric point of view, we extend the Rhoades' question to the case where the fixed point set is a circle. We also give a solution to this extended version.
A Study On Horadam Hybrid Numbers, Tuncay Deni̇z Şentürk, Göksal Bi̇lgi̇ci̇, Ahmet Daşdemi̇r, Zafer Ünal
A Study On Horadam Hybrid Numbers, Tuncay Deni̇z Şentürk, Göksal Bi̇lgi̇ci̇, Ahmet Daşdemi̇r, Zafer Ünal
Turkish Journal of Mathematics
In this paper, we study Horadam hybrid numbers. For these numbers, we give the exponential generating function, Poisson generating function, generating matrix, Vajda's, Catalan's, Cassini's, and d'Ocagne's identities. In addition, we offer Honsberger formula, general bilinear formula, and some summation formulas for these numbers.
Some Results On Prime Rings With Multiplicative Derivations, Gurninder Singh Sandhu, Di̇dem Karalarlioğlu Camci
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 …
Surface Pencil With A Common Adjoint Curve, Ergi̇n Bayram
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.
Some Results On Top Generalized Local Cohomology Modules With Respect To A System Of Ideals, Nguyen Minh Tri
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.
Existence Results Of Positive Solutions For Kirchhoff Type Biharmonic Equation Via Bifurcation Methods*, Jinxiang Wang, Dabin Wang
Existence Results Of Positive Solutions For Kirchhoff Type Biharmonic Equation Via Bifurcation Methods*, Jinxiang Wang, Dabin Wang
Turkish Journal of Mathematics
This paper is concerned with the existence of positive solutions for the fourth order Kirchhoff type problem $$ \left\{\begin{array}{ll} \Delta^{2}u-(a+b\int_\Omega \nabla u ^2dx)\triangle u=\lambda f(u(x)),\ \ \text{in}\ \Omega,\\ u=\triangle u=0,\ \ \text{on}\ \partial\Omega,\\ \end{array} \right. $$ where $\Omega\subset \mathbb{R}^{N}$($N\geq 1$) is a bounded domain with smooth boundary $\partial \Omega$, $a>0, b\geq 0$ are constants, $\lambda\in \mathbb{R}$ is a parameter. For the case $f(u)\equiv u$, we use an argument based on the linear eigenvalue problems of fourth order elliptic equations to show that there exists a unique positive solution for all $\lambda>\Lambda_{1,a}$, here $\Lambda_{1,a}$ is the first eigenvalue of …
Application Of Spectral Mapping Method To Dirac Operator, Rauf Ami̇rov, Merve Arslantaş
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.
Dynamics Of A Fluid Equation With Neumann Boundary Conditions, Limin Chen, Shengjun Li, Yumei Zou
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.
Games Relating To Weak Covering Properties In Bitopological Spaces, Ali̇ Emre Eysen, Selma Özçağ
Games Relating To Weak Covering Properties In Bitopological Spaces, Ali̇ Emre Eysen, Selma Özçağ
Turkish Journal of Mathematics
We study topological games related to weak forms of the Menger property in bitopological spaces. In particular we investigate almost Menger game and its connections to games which are associated with the covering properties consisting of covers containing $G_\delta$ subsets.
Neutral Multivalued Integro-Differential Evolution Equations With Infinite State-Dependent Delay, Abdelaziz Mebarki, Selma Baghli Bendimerad
Neutral Multivalued Integro-Differential Evolution Equations With Infinite State-Dependent Delay, Abdelaziz Mebarki, Selma Baghli Bendimerad
Turkish Journal of Mathematics
Our problem through this work is to give the existence of mild solutions for the first order class of neutral functional multivalued integro-differential evolution equations with infinite state-dependent delay using the nonlinear alternative of Frigon for multivalued contraction maps in Fréchet spaces combined with the semi-group theory.
The Hewitt Realcompactification Of An Orbit Space, Sadik Eyi̇doğan, Mehmet Onat
The Hewitt Realcompactification Of An Orbit Space, Sadik Eyi̇doğan, Mehmet Onat
Turkish Journal of Mathematics
In this paper, we show that the statement in the study of Srivastava (1987) holds also for the Hewitt realcompactification. The mentioned statement showed that when the action of a finite topological group on a Tychonoff space is given, the Stone-Cech compactification of the orbit space of the action is the orbit space of the Stone-Cech compactification of the space. As an application, we show that Srivastava's result can be obtained using the main theorem of the present study.
Introduction To $N$-Soft Algebraic Structures, Hüseyi̇n Kamaci
Introduction To $N$-Soft Algebraic Structures, Hüseyi̇n Kamaci
Turkish Journal of Mathematics
This paper is dedicated to two main objectives. The first of these is to develop some new operations on $N$-soft set, which is the generalization of soft set. The second is to highlight the concepts of $N$-soft group, $N$-soft ring, $N$-soft ideal, completely semiprime $N$-soft ideal, $N$-soft field and $N$-soft lattice. Moreover, in this study, it is attempted to derive certain properties for these concepts and to analyze the relations between them.
Geometric Properties Of Partial Sums Of Generalized Koebe Function, Erhan Deni̇z, Erkan Yalçin
Geometric Properties Of Partial Sums Of Generalized Koebe Function, Erhan Deni̇z, Erkan Yalçin
Turkish Journal of Mathematics
The aim of the present paper is to investigate the starlikeness, convexity, and close-to-convexity of some partial sums of the generalized Koebe function. Furthermore, we give some special results related with special cases of $c$ constant. The results, which are presented in this paper, would generalize those in related works of several earlier authors.
Continuous Dependence Of Solutions For Damped Improved Boussinesq Equation, Sema Bayraktar, Şevket Gür
Continuous Dependence Of Solutions For Damped Improved Boussinesq Equation, Sema Bayraktar, Şevket Gür
Turkish Journal of Mathematics
In this paper, the initial-boundary value problem for a damped nonlinear improved Boussinesq equation is studied. A priori estimates for the solution of the equation are obtained in terms of initial data and coefficients of the problem. The continuous dependence of solutions on dispersive $(\delta)$ and $(r)$ and dissipative $(b)$ coefficients are established by multiplier method.
Approximation By Matrix Transforms In Weighted Orlicz Spaces, Sadulla Jafarov
Approximation By Matrix Transforms In Weighted Orlicz Spaces, Sadulla Jafarov
Turkish Journal of Mathematics
In this work the approximation problems of the functions by matrix transforms in weighted Orlicz spaces with Muckenhoupt weights are studied.We obtain the degree of approximation of functions belonging to Lipschitz class $Lip(\alpha ,M,\omega )$ through matrix transforms $% T_{n}^{\left( A\right) }(x,f)$,$~$and Nörlund means $N_{n}\left(x,f\right) ~$of their trigonometric Fourier series.
Prolongations Of Isometric Actions To Vector Bundles, Hülya Kadioğlu
Prolongations Of Isometric Actions To Vector Bundles, Hülya Kadioğlu
Turkish Journal of Mathematics
In this paper, we define an isometry on a total space of a vector bundle $\mathbb{E}$ by using a given isometry on the base manifold $\mathbb{M}$. For this definition, we assume that the total space of the bundle is equipped with a special metric which has been introduced in one of our previous papers. We prove that the set of these derived isometries on $\mathbb{E}$ form an imbedded Lie subgroup $\tilde{G}$ of the isometry group $I(E)$. Using this new subgroup, we construct two different principal bundle structures based one on $\mathbb{E}$ and the other on the orbit space $\mathbb{E}/\tilde{G}$.