Open Access. Powered by Scholars. Published by Universities.®
- Keyword
-
- Oscillation (27)
- Fixed point (25)
- Convex function (21)
- Fixed point theorem (21)
- Stability (20)
-
- Analytic functions (19)
- Time scales (18)
- Analytic function (16)
- Bi-univalent functions (16)
- Derivation (16)
- Univalent functions (16)
- Eigenvalues (14)
- Subordination (14)
- Boundary value problem (13)
- Eigenvalue (13)
- Asymptotic behavior (12)
- Collocation method (11)
- Crossed modules (11)
- Existence (11)
- Ideal (11)
- Rank (11)
- Coefficient bounds (10)
- Fractional derivative (10)
- Green's function (10)
- Numerical semigroup (10)
- Positive solution (10)
- Positive solutions (10)
- Riemannian manifold (10)
- Riemannian submersion (10)
- Spectrum (10)
- Publication Year
Articles 1351 - 1380 of 2781
Full-Text Articles in Entire DC Network
Generalized Geometry Of Goncharov And Configuration Complexes, Muhammad Khalid, Javed Khan, Azhar Iqbal
Generalized Geometry Of Goncharov And Configuration Complexes, Muhammad Khalid, Javed Khan, Azhar Iqbal
Turkish Journal of Mathematics
In this article, a generalized geometry of Goncharov's complex and the Grassmannian complex will be proposed. First, all new homomorphisms will be defined, and then they will be used extensively to connect the Bloch--Suslin and the Grassmannian complex for weight $n=2$ and then Goncharov's complex with Grassmannian complex for weight $n=3$, up to $n=6$. Lastly, and most importantly, generalized morphisms will be presented to cover the geometry of the Goncharov and Grassmannian complex when weight $n= N$. Associated diagrams will be exhibited, proven to be commutative.
On Small Covers Over A Product Of Simplices, Murat Altunbulak, Asli Güçlükan İlhan
On Small Covers Over A Product Of Simplices, Murat Altunbulak, Asli Güçlükan İlhan
Turkish Journal of Mathematics
In this paper, we give a formula for the number of $\mathbb{Z}_2^n$-equivariant homeomorphism classes of small covers over a product of simplices. We also give an upper bound for the number of small covers over a product of simplices up to homeomorphism.
Gadjieva's Conjecture, $K$-Functionals, And Someapplications In Weighted Lebesgue Spaces, Ramazan Akgün
Gadjieva's Conjecture, $K$-Functionals, And Someapplications In Weighted Lebesgue Spaces, Ramazan Akgün
Turkish Journal of Mathematics
We prove that Gadjieva's conjecture holds true as stated in her PhD thesis. The positive solution of this conjecture allows us to obtain improved versions of the Jackson--Stechkin type inequalities obtained in her thesis and some others. As an application, an equivalence of the modulus of smoothness with the realization functional is established. We obtain a characterization class for the modulus of smoothness.
The Rank Of Apparition Of Powers Of Lucas Sequence, Prasanta Kumar Ray, Nuretti̇n Irmak, Bijan Kumar Patel
The Rank Of Apparition Of Powers Of Lucas Sequence, Prasanta Kumar Ray, Nuretti̇n Irmak, Bijan Kumar Patel
Turkish Journal of Mathematics
This note is devoted to studying the divisibility relation $u_{n}^{k+1} u_{m}$ for a least positive integer $m$, where $\{u_{n}\}_{n \geq 0}$ is a nondegenerate Lucas sequence with characteristic polynomial $x^{2}-ax - b,$ for some relatively prime integers $a$ and $b$.
On One Bvp For A Thermo-Microstretch Elastic Space With Spherical Cavity, Lamara Bitsadze
On One Bvp For A Thermo-Microstretch Elastic Space With Spherical Cavity, Lamara Bitsadze
Turkish Journal of Mathematics
The present paper considers the equilibrium theory of thermo-microstretch elastic solids with microtemperatures. The method to solve the Neumann-type boundary value problem (BVP) for the whole space with spherical cavity is presented. The solution of this BVP in the form of absolutely and uniformly convergent series is obtained.
On Some Properties Of Hyperstonean Spaces, Banu Güntürk, Bahaetti̇n Cengi̇z
On Some Properties Of Hyperstonean Spaces, Banu Güntürk, Bahaetti̇n Cengi̇z
Turkish Journal of Mathematics
This paper is devoted to hyperstonean spaces that are precisely the Stone spaces of measure algebras, or the Stone spaces of the Boolean algebras of $% L^{p}$-projections of Banach spaces for $1$ $\leq p
Some Properties Of $E$-Symmetric Rings, F M, Junchao Wei
Some Properties Of $E$-Symmetric Rings, F M, Junchao Wei
Turkish Journal of Mathematics
In this paper, we first give some characterizations of $e$-symmetric rings. We prove that $R$ is an $e$-symmetric ring if and only if $a_{1}a_{2}a_{3}=0$ implies that $a_{\sigma(1)}a_{\sigma(2)}a_{\sigma(3)}e=0$, where $\sigma $ is any transformation of $\{1,2,3\}$. With the help of the Bott--Duffin inverse, we show that for $e\in ME_{l}(R)$, $R$ is an $e$-symmetric ring if and only if for any $a\in R$ and $g\in E(R)$, if $a$ has a Bott--Duffin $(e,g)$-inverse, then $g=eg$. Using the solution of the equation $axe=c$, we show that for $e\in ME_{l}(R)$, $R$ is an $e$-symmetric ring if and only if for any $a,c \in R$, if …
Conformal Riemannian Maps From Almost Hermitian Manifolds, Bayram Şahi̇n, Şener Yanan
Conformal Riemannian Maps From Almost Hermitian Manifolds, Bayram Şahi̇n, Şener Yanan
Turkish Journal of Mathematics
Conformal Riemannian maps from almost Hermitian manifolds to Riemannian manifolds, namely conformal invariant Riemannian maps, holomorphic conformal Riemannian maps, and conformal antiinvariant Riemannian maps, are introduced. We mainly focus on conformal antiinvariant Riemannian maps from Kaehlerian manifolds. We give proper examples of conformal antiinvariant Riemannian maps, obtain the integrability of certain distributions, and investigate the geometry of leaves of these distributions. We also obtain various conditions for such maps to be horizontally homothetic maps.
An Exponential Method To Solve Linear Fredholm-Volterraintegro-Differential Equations And Residual Improvement, Şuayi̇p Yüzbaşi
An Exponential Method To Solve Linear Fredholm-Volterraintegro-Differential Equations And Residual Improvement, Şuayi̇p Yüzbaşi
Turkish Journal of Mathematics
In this paper, a collocation approach based on exponential polynomials is introduced to solve linear Fredholm-Volterra integro-differential equations under the initial boundary conditions. First, by constructing the matrix forms of the exponential polynomials and their derivatives, the desired exponential solution and its derivatives are written in matrix forms. Second, the differential and integral parts of the problem are converted into matrix forms based on exponential polynomials. Later, the main problem is reduced to a system of linear algebraic equations by aid of the collocation points, the matrix operations, and the matrix forms of the conditions. The solutions of this system …
Convolution And Jackson Inequalities In Musielak--Orlicz Spaces, Ramazan Akgün, Yunus Emre Yildirir
Convolution And Jackson Inequalities In Musielak--Orlicz Spaces, Ramazan Akgün, Yunus Emre Yildirir
Turkish Journal of Mathematics
In the present work we prove some direct and inverse theorems for approximation by trigonometric polynomials in Musielak-Orlicz spaces. Furthermore, we get a constructive characterization of the Lipschitz classes in these spaces.
Symmetry Of Numerical Range And Semigroup Generation Of Infinite Dimensional Hamiltonian Operators, Junjie Huang, Jie Liu, Alatancang Chen
Symmetry Of Numerical Range And Semigroup Generation Of Infinite Dimensional Hamiltonian Operators, Junjie Huang, Jie Liu, Alatancang Chen
Turkish Journal of Mathematics
This paper deals with the infinite dimensional Hamiltonian operator with unbounded entries. Using the core of its entries, we obtain the conditions under which the numerical range of such an operator is symmetric with respect to the imaginary axis. Based on the symmetry above, a necessary and sufficient condition for generating $C_0$ semigroups is further given.
An Operational Matrix Method For Solving Linear Fredholm‒Volterra Integro-Differential Equations, Şuayi̇p Yüzbaşi, Nurbol Ismailov
An Operational Matrix Method For Solving Linear Fredholm‒Volterra Integro-Differential Equations, Şuayi̇p Yüzbaşi, Nurbol Ismailov
Turkish Journal of Mathematics
The aim of this paper is to propose an efficient method to compute approximate solutions of linear Fredholm‒Volterra integro-differential equations (FVIDEs) using Taylor polynomials. More precisely, we present a method based on operational matrices of Taylor polynomials in order to solve linear FVIDEs. By using the operational matrices of integration and product for the Taylor polynomials, the problem for linear FVIDEs is transformed into a system of linear algebraic equations. The solution of the problem is obtained from this linear system after the incorporation of initial conditions. Numerical examples are presented to show the applicability and the efficiency of the …
An Effective Application Of Differential Quadrature Method Based Onmodified Cubic B-Splines To Numerical Solutions Of The Kdv Equation, Ali̇ Başhan
Turkish Journal of Mathematics
In this study, numerical solutions of the third-order nonlinear Korteweg--de Vries (KdV) equation are obtained via differential quadrature method based on modified cubic B-splines. Five different problems are solved. To show the accuracy of the proposed method, $L_{2}$ and $L_{\infty }$ error norms of the problem, which has an analytical solution, and three lowest invariants are calculated and reported. The obtained solutions are compared with some earlier works. Stability analysis of the present method is also given.
Applications Of Extended Watson's Summation Theorem, Young Sup Kim, Sebastien Gaboury, Arjun Kumar Rathie
Applications Of Extended Watson's Summation Theorem, Young Sup Kim, Sebastien Gaboury, Arjun Kumar Rathie
Turkish Journal of Mathematics
In this research paper, several interesting applications of the extended classical summation theorem are given. As special cases, we recover several known results available in the literature.
Joint Densities Of Hitting Times For Finite State Markov Processes, Tomasz R. Bielecki, Monique Jeanblanc, Ali̇ Devi̇n Sezer
Joint Densities Of Hitting Times For Finite State Markov Processes, Tomasz R. Bielecki, Monique Jeanblanc, Ali̇ Devi̇n Sezer
Turkish Journal of Mathematics
For a finite state Markov process $X$ and a finite collection $\{ \Gamma_k, k \in K \}$ of subsets of its state space, let $\tau_k$ be the first time the process visits the set $\Gamma_k$. In general, $X$ may enter some of the $\Gamma_k$ at the same time and therefore the vector $\bm\tau :=(\tau_k, k \in K)$ may put nonzero mass over lower dimensional regions of ${\mathbb R}_+^{ K }$; these regions are of the form $R_s=\{{\bm t} \in {\mathbb R}_+^{ K }: t_i = t_j, ~~i,j \in s(1) \} \cap \bigcap_{l=2}^{ s } \{{\bm t}:t_m < t_i = t_j,~~ i,j \in s(l), m \in s(l-1) \}$ where $s$ is any ordered partition of the set $K$ and $s(j)$ denotes the $j^{th}$ subset of $K$ in the partition $s$. When $ s < K $, the density of the law of $\bm\tau$ over these regions is said to be ``singular'' because it is with respect to the $ s $-dimensional Lebesgue measure over the region $R_s.$ We derive explicit/recursive and simple to compute formulas for these singular densities and their corresponding tail probabilities over all $R_s$ as $s$ ranges over ordered partitions of $K$. We give a numerical example and indicate the relevance of our results to credit risk modeling.
The Natural Brackets On Couples Of Vector Fields And $1$-Forms, Miroslav Doupovec, Jan Kurek, Wlodzimierz Mikulski
The Natural Brackets On Couples Of Vector Fields And $1$-Forms, Miroslav Doupovec, Jan Kurek, Wlodzimierz Mikulski
Turkish Journal of Mathematics
All natural bilinear operators transforming pairs of couples of vector fields and $1$-forms into couples of vector fields and $1$-forms are found. All natural bilinear operators as above satisfying the Leibniz rule are extracted. All natural Lie algebra brackets on couples of vector fields and $1$-forms are collected.
On The Exponential Diophantine Equation $(18m^2+1)^X+(7m^2-1)^Y=(5m)^Z$, Murat Alan
On The Exponential Diophantine Equation $(18m^2+1)^X+(7m^2-1)^Y=(5m)^Z$, Murat Alan
Turkish Journal of Mathematics
Let $m$ be a positive integer. We show that the exponential Diophantine equation $ (18m^2+1)^x+(7m^2-1)^y=(5m)^z $ has only the positive integer solution $(x,y,z)=(1,1,2)$ except for $m \equiv 23,47,63, 87 \pmod {120}$. For $m\not\equiv 0 \pmod5$ we use some elementary methods and linear forms in two logarithms. For $m \equiv 0 \pmod 5$ we apply a result for linear forms in $p$-adic logarithms.
Existence And Uniqueness Of Solution Fordifferential Equation Of Fractional Order $2, Ghazala Akram, Fareeha Anjum
Existence And Uniqueness Of Solution Fordifferential Equation Of Fractional Order $2, Ghazala Akram, Fareeha Anjum
Turkish Journal of Mathematics
This paper is devoted to the study of nonlinear fractional differential equation involving Caputo fractional derivative of order $2
The Density Theorem For Hermitian K-Theory, Mohamed Elamine Talbi
The Density Theorem For Hermitian K-Theory, Mohamed Elamine Talbi
Turkish Journal of Mathematics
Karoubi's density theorem was first proved in Benayat's thesis and then cited and used in several books and articles. As K-theory is a special case of hermitian $_{\varepsilon }L$-theory, a natural question is whether such a theorem is still true in the latter theory. The purpose of this article is to show that it is indeed the case.
Equivalence Problem For Compatible Bi-Hamiltonian Structures On Three-Dimensional Orientable Manifolds, Tuna Bayrakdar, Abdullah Azi̇z Ergi̇n
Equivalence Problem For Compatible Bi-Hamiltonian Structures On Three-Dimensional Orientable Manifolds, Tuna Bayrakdar, Abdullah Azi̇z Ergi̇n
Turkish Journal of Mathematics
We solve the equivalence problem for compatible bi-Hamiltonian structures on three-dimensional orientable manifolds via Cartan's method of equivalence. The problem separates into two branches on total space, one of which ends up with the intransitive involutive structure equations. For the transitive case, we obtain an $\{e\}$-structure on both total and base spaces.
Bargraphs In Bargraphs, Toufik Mansour, Armend Shabani
Bargraphs In Bargraphs, Toufik Mansour, Armend Shabani
Turkish Journal of Mathematics
Bargraphs are lattice paths in $\mathbb{N}_0^2$ that start at the origin and end upon their first return to the $x$-axis. Each bargraph is represented by a sequence of column heights $\pi_1\pi_2\cdots\pi_m$ such that column $j$ contains $\pi_j$ cells. In this paper, we study the number of bargraphs with $n$ cells and $m$ columns according to the distribution for the statistic that records the number of times a given shape lies entirely within a bargraph for various small shapes.
The Productively Lindelöf Property In The Remainders Of Topological Spaces, Seçi̇l Tokgöz
The Productively Lindelöf Property In The Remainders Of Topological Spaces, Seçi̇l Tokgöz
Turkish Journal of Mathematics
A topological space $X$ is called productively Lindelöf if $X\times Y$ is Lindelöf for every Lindelöf space $Y$. We study with remainders and investigate topological spaces with productively Lindelöf remainders.
Semisymmetric Contact Metric Manifolds Of Dimension $\Geq 5$, Nasrin Malekzadeh, Esmaiel Abedi
Semisymmetric Contact Metric Manifolds Of Dimension $\Geq 5$, Nasrin Malekzadeh, Esmaiel Abedi
Turkish Journal of Mathematics
We classify semisymmetric contact metric manifolds $M^{2n+1}(\varphi, \xi, \eta, g),~n\geq2$ with $\xi$-parallel tensor $h$, where $2h$ denotes the Lie derivative of the structure tensor $\varphi$ in the direction of the characteristic vector field $\xi$.
On Oscillation Of Two-Dimensional Time-Scale Systems With A Forcing Term, Özkan Öztürk
On Oscillation Of Two-Dimensional Time-Scale Systems With A Forcing Term, Özkan Öztürk
Turkish Journal of Mathematics
The oscillation and nonoscillation theories for nonlinear systems have recently received a lot of attention. We consider a two-dimensional time-scale system and find the oscillation criteria for solutions of the system by using some improper integrals and inequalities. We also give a few examples in order to highlight our main results.
On A Biharmonic Equation Involving Slightly Supercritical Exponent, Kamal Ould Bouh
On A Biharmonic Equation Involving Slightly Supercritical Exponent, Kamal Ould Bouh
Turkish Journal of Mathematics
We consider the biharmonic equation with supercritical nonlinearity $ (P_\varepsilon ):$ $\Delta^{2} u = K u ^{8/(n-4)+\varepsilon}u$ in $\Omega$, $\Delta u =u = 0$ on $\partial \Omega $, where $\Omega $ is a smooth bounded domain in $\mathbb{R}^n $, $n \geq 5 $, $K$ is a $C^3$ positive function, and $\varepsilon$ is a positive real parameter. In contrast with the subcritical case, we prove the nonexistence of sign-changing solutions of $ (P_\varepsilon )$ that blow up at two near points. We also show that $(P_\varepsilon)$ has no bubble-tower sign-changing solutions.
On Radial Solutions For Monge-Ampére Equations, Ronghua Liu, Fanglei Wang, Yukun An
On Radial Solutions For Monge-Ampére Equations, Ronghua Liu, Fanglei Wang, Yukun An
Turkish Journal of Mathematics
In this paper,we obtain some new existence, uniqueness, and multiplicity results of radial solutions of an elliptic system coupled by Monge-Ampére equations using the fixed point theorem.
$R$-Submodules And $Sr$-Submodules, Suat Koç, Ünsal Teki̇r
$R$-Submodules And $Sr$-Submodules, Suat Koç, Ünsal Teki̇r
Turkish Journal of Mathematics
In this article, we introduce new classes of submodules called $r$-submodule and special $r$-submodule, which are two different generalizations of $r$-ideals. Let $M $be an $R$-module, where $R $is a commutative ring$. $We call a proper submodule $N\ $of $M$ an $r$-submodule (resp., special $r$-submodule) if the condition $am\in N$ with $ann_{M}(a)=0_{M} $(resp., $ann_{R}(m)=0$) implies that $m\in N$ (resp., $a\in(N:_{R} M)$) for each $a\in R $and $m\in M. $ We also give various results and examples concerning $r$-submodules and special $r$-submodules.
Accelerating Diffusion By Incompressible Drift On The Two-Dimensional Torus, Yaakoubi Nejib
Accelerating Diffusion By Incompressible Drift On The Two-Dimensional Torus, Yaakoubi Nejib
Turkish Journal of Mathematics
In this paper we construct an explicit sequence of divergence-free vector fields $\rm{b}_{n}$ that pushes the spectral gap of the nonself-adjoint operator $A_{\rm{b}_{n}}=\Delta +\rm{b}_{n}\cdot\nabla $ to infinity. The spectral gap is an indicator for the speed at which this diffusion converges toward its equilibrium, which corresponds to the uniform distribution.
If $4$-Convex Vectors Are Closed In Uniform Norms Then Their Second Derivatives Are Also Closed In Weighted $L^2$-Norm, Muhammad Shoaib Saleem, Josip Pecaric, Hamood Ur Rehman, Mobeen Munir, Muhammad Wahab Khan
If $4$-Convex Vectors Are Closed In Uniform Norms Then Their Second Derivatives Are Also Closed In Weighted $L^2$-Norm, Muhammad Shoaib Saleem, Josip Pecaric, Hamood Ur Rehman, Mobeen Munir, Muhammad Wahab Khan
Turkish Journal of Mathematics
In this paper, we develop the weighted energy estimates for arbitrary 4-convex vectors and the vectors having both 4-convex and 4-concave functions as their arguments. To do this, we first develop these estimates for smooth 4-convex vectors and then, through mollification, extend the results for arbitrary 4-convex vectors. This type of estimates are valuable in problems of financial mathematics for the establishment of optimal investment strategies
Formal Residue And Computer-Assisted Proofs Of Combinatorial Identities, Jin Haitao
Formal Residue And Computer-Assisted Proofs Of Combinatorial Identities, Jin Haitao
Turkish Journal of Mathematics
The coefficient of $x^{-1}$ of a formal Laurent series $f(x)$ is called the formal residue of $f(x)$. Many combinatorial numbers can be represented by the formal residues of hypergeometric terms. With these representations and the extended Zeilberger algorithm, we generate recurrence relations for summations involving combinatorial sequences such as Stirling numbers and their $q$-analog. As examples, we give computer proofs of several known identities and derive some new identities. The applicability of this method is also studied.