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Articles 121 - 140 of 140
Full-Text Articles in Physical Sciences and Mathematics
On The Equivalence Of Alexandrov Curvature And Busemann Curvature, Shijie Gu
On The Equivalence Of Alexandrov Curvature And Busemann Curvature, Shijie Gu
Turkish Journal of Mathematics
It is shown that the curvature bounded above (resp. below) in the sense of Alexandrov is equivalent to the curvature bounded above (resp. below) in the sense of Busemann if and only if the sum of adjacent average angles is at least (resp. at most) $\pi$.
Topological Entropies Of A Class Of Constrained Systems, Yanni Ma, Bingzhe Hou
Topological Entropies Of A Class Of Constrained Systems, Yanni Ma, Bingzhe Hou
Turkish Journal of Mathematics
In this paper, we consider a class of constrained systems named double upper bounds $(p,q)$-constrained systems ($(p,q)$-DUB systems in brief), which are one-dimensional subshifts of finite type. We determinate the topological entropies (Shannon capacities) $C(p,q)$ of all $(p,q)$-DUB systems and consequently order all $(p,q)$-DUB systems according to the size of topological entropies. In particular, $C(p, \infty)=C(p+1, p+1)$ are the only equalities possible among the topological entropies of $(p,q)$-DUB systems.
Nonpolynomial Spline Technique For The Solution Of Ninth Order Boundary Value Problems, Ghazala Akram, Zara Nadeem
Nonpolynomial Spline Technique For The Solution Of Ninth Order Boundary Value Problems, Ghazala Akram, Zara Nadeem
Turkish Journal of Mathematics
In this paper, a nonpolynomial spline technique is applied to solve the ninth order linear special case boundary value problems. The end conditions are derived to complete the definition of a spline. Three examples are numerically illustrated to check the efficiency of the method. The comparative analysis shows that the proposed technique gives better results than the homotopy perturbation method and the modified variational iteration method.
Computation Of Conditional Expectation Based On The Multidimensional J-Process Using Malliavin Calculus Related To Pricing American Options, Mohamed Kharrat
Computation Of Conditional Expectation Based On The Multidimensional J-Process Using Malliavin Calculus Related To Pricing American Options, Mohamed Kharrat
Turkish Journal of Mathematics
In this work, we extend the uni-dimensional results, already found by Jerbi and Kharrat, for the multidimensional case: we compute the Malliavin weights related to the conditional expectation $\mathbb{E}(P_{t}(X_{t}) (X_{s}))$ for $0 \leq s \leq t$, where the only state variable follows a multidimensional J-process.
On Certain Gbs-Durrmeyer Operators Based On $Q$-Integers, Dan Barbosu, Ana Maria Acu, Carmen Violeta Muraru
On Certain Gbs-Durrmeyer Operators Based On $Q$-Integers, Dan Barbosu, Ana Maria Acu, Carmen Violeta Muraru
Turkish Journal of Mathematics
In the present paper we introduce the $GBS$ (Generalized Boolean Sum) operators of Durrmeyer type based on $q$-integers and the approximation of B-continuous functions using the above operators is studied. In addition, a uniform convergence theorem is established and the degree of approximation in terms of mixed modulus of continuity is evaluated. The study contains in the last section numerical considerations regarding the constructed operators based on MATLAB algorithms.
Evolution Equations With A Parameter And Application To Transport-Convection Differential Equations, Emile Franc Doungmo Goufo
Evolution Equations With A Parameter And Application To Transport-Convection Differential Equations, Emile Franc Doungmo Goufo
Turkish Journal of Mathematics
We deeply investigate the well-posedness of models taking the form $_0^AD^{\beta }_tu(t) = Au(t),\;\; u(0)= \,f,\;\;\;00$ where $_0^AD^{\beta }_t$ is a derivative with the fractional parameter $\beta$ and $A$ is a closed densely defined operator in a Banach space. We show that, unlike other systems, solutions of our models are not governed by Mittag--Leffler functions and their variants. We extend and adapt Peano's idea to our models and establish conditions for existence and uniqueness of solutions. In particular, relations between the two-parameter solution operator, its resolvent, and its generator are provided; the issue of subordination and prolongation principles are addressed; …
Generalized Trial Equation Method And Its Applications Toduffing And Poisson-Boltzmann Equations, Ali̇ Özyapici
Generalized Trial Equation Method And Its Applications Toduffing And Poisson-Boltzmann Equations, Ali̇ Özyapici
Turkish Journal of Mathematics
The trial equation method, which was proposed by Cheng-Shi Liu, is a very powerful method for solving nonlinear differential equations. After the original trial method, some modified versions of the trial equation method were introduced and applied to some famous nonlinear differential equations. Although each modified trial equation method provides a different perspective, they have some weaknesses according to the given differential equations. This is the main reason for introducing modified trial equation methods. This study aims to define a general representation of trial methods for solving nonlinear differential equations. The generalized trial equation method consists of the simple trial …
Evaluation Of Sums Involving Products Of Gaussian $Q$-Binomial Coefficients With Applications To Fibonomial Sums, Emrah Kiliç, Helmut Prodinger
Evaluation Of Sums Involving Products Of Gaussian $Q$-Binomial Coefficients With Applications To Fibonomial Sums, Emrah Kiliç, Helmut Prodinger
Turkish Journal of Mathematics
Sums of products of two Gaussian $q$-binomial coefficients with a parametric rational weight function are considered. The partial fraction decomposition technique is used to evaluate the sums in closed form. Interesting applications of these results to certain generalized Fibonomial and Lucanomial sums are provided.
Choosing The Relaxation Parameter In Sequential Block-Iterativemethods For Linear Systems, Touraj Nikazad, Shsghayegh Heidarzade
Choosing The Relaxation Parameter In Sequential Block-Iterativemethods For Linear Systems, Touraj Nikazad, Shsghayegh Heidarzade
Turkish Journal of Mathematics
In this paper we introduce two strategies for picking relaxation parameters to control the semiconvergence behavior of a sequential block-iterative method. A convergence analysis is presented. We also demonstrate the performance of our strategies by examples taken from tomographic imaging.
Arithmetic Properties Of $\Ell$-Regular Overpartition Pairs, Megadahalli Siddanaika Mahadeva Naika, Chandrappa Shivashankar
Arithmetic Properties Of $\Ell$-Regular Overpartition Pairs, Megadahalli Siddanaika Mahadeva Naika, Chandrappa Shivashankar
Turkish Journal of Mathematics
In this paper, we investigate the arithmetic properties of $\ell$-regular overpartition pairs. Let $\overline{B}_{\ell}(n)$ denote the number of $\ell$-regular overpartition pairs of $n$. We will prove the number of Ramanujan-like congruences and infinite families of congruences modulo 3, 8, 16, 36, 48, 96 for $\overline{B}_3(n)$ and modulo 3, 16, 64, 96 for $\overline{B}_4(n)$. For example, we find that for all nonnegative integers $\alpha$ and $n$, $\overline{B}_{3}(3^{\alpha}(3n+2))\equiv 0\pmod{3}$, $\overline{B}_{3}(3^{\alpha}(6n+4))\equiv 0\pmod{3}$, and $\overline{B}_{4}(8n+7)\equiv 0\pmod{64}$.
Convergence Analysis Of Parabolic Basis Functions For Solving Systems Of Linear And Nonlinear Fredholm Integral Equations, Yousef Jafarzadeh, Bagher Keramati
Convergence Analysis Of Parabolic Basis Functions For Solving Systems Of Linear And Nonlinear Fredholm Integral Equations, Yousef Jafarzadeh, Bagher Keramati
Turkish Journal of Mathematics
In this paper, a computational method based on a hybrid of parabolic and block-pulse functions is proposed to solve a system of linear and special nonlinear Fredholm integral equations of the second kind. The convergence and error bound are analyzed. Numerical examples are given to illustrate the efficiency of the method.
Generalized Convolution Product For An Integral Transform On A Wiener Space, Byoung Soo Kim, Il Yoo
Generalized Convolution Product For An Integral Transform On A Wiener Space, Byoung Soo Kim, Il Yoo
Turkish Journal of Mathematics
We introduce a generalized convolution product $(F*G)_{\vec\alpha,\vec\beta}$ for integral transform ${\mathcal F}_{\gamma,\eta}$ for functionals defined on $K[0,T]$, the space of complex valued continuous functions on $[0,T]$ that vanish at zero. We study some interesting properties of our generalized convolution product and establish various relationships that exist among the generalized convolution product, the integral transform, and the first variation for functionals defined on $K[0,T]$. We also discuss the associativity of the generalized convolution product.
Terminal Value Problem For Causal Differential Equations With A Caputofractional Derivative, Coşkun Yakar, Mehmet Arslan
Terminal Value Problem For Causal Differential Equations With A Caputofractional Derivative, Coşkun Yakar, Mehmet Arslan
Turkish Journal of Mathematics
In this paper, we have given new definitions and obtained the unique solution of a fractional causal terminal value problem by combining the technique of generalized quasilinearization in the sense of upper and lower solutions.
Almost Contact Metric Structures Induced By $G_2$ Structures, Nüli̇fer Özdemi̇r, Mehmet Solgun, Şi̇ri̇n Aktay
Almost Contact Metric Structures Induced By $G_2$ Structures, Nüli̇fer Özdemi̇r, Mehmet Solgun, Şi̇ri̇n Aktay
Turkish Journal of Mathematics
We study almost contact metric structures induced by 2-fold vector cross products on manifolds with $G_2$ structures. We get some results on possible classes of almost contact metric structures. Finally, we give examples.
On $\Lambda$-Perfect Maps, Mehrdad Namdari, Mohammad Ali Siavoshi
On $\Lambda$-Perfect Maps, Mehrdad Namdari, Mohammad Ali Siavoshi
Turkish Journal of Mathematics
$\lambda$-Perfect maps, a generalization of perfect maps (i.e. continuous closed maps with compact fibers) are presented. Using $P_\lambda$-spaces and the concept of $\lambda$-compactness some classical results regarding $\lambda$-perfect maps will be extended. In particular, we show that if the composition $fg$ is a $\lambda$-perfect map where $f,g$ are continuous maps with $fg$ well-defined, then $f,g$ are $\alpha$-perfect and $\beta$-perfect, respectively, on appropriate spaces, where $\alpha, \beta\leq\lambda$.
Cardinal Hermite Interpolant Multiscaling Functions For Solving A Parabolic Inverse Problem, Elmira Ashpazzadeh, Mehrdad Lakestani, Mohsen Razzaghi
Cardinal Hermite Interpolant Multiscaling Functions For Solving A Parabolic Inverse Problem, Elmira Ashpazzadeh, Mehrdad Lakestani, Mohsen Razzaghi
Turkish Journal of Mathematics
An effective method based upon cardinal Hermite interpolant multiscaling functions is proposed for the solution of the one-dimensional parabolic partial differential equation with given initial condition and known boundary conditions and subject to overspecification at a point in the spatial domain. The properties of multiscaling functions are first presented. These properties together with a collocation method are then utilized to reduce the parabolic inverse problem to the solution of algebraic equations. The scheme described is efficient. The numerical results obtained using the present algorithms for test problems show that this method can solve the model effectively.
Some Results On Uniform Statistical Cluster Points, Tuğba Yurdakadi̇m, Leila Miller-Van Wieren
Some Results On Uniform Statistical Cluster Points, Tuğba Yurdakadi̇m, Leila Miller-Van Wieren
Turkish Journal of Mathematics
In this paper, we present some results linking the uniform statistical limit superior and inferior, almost convergence and uniform statistical convergence of a sequence.We also study the relationship between the set of uniform statistical cluster points of a given sequence and its subsequences. The resultsconcerning uniform statistical convergence and uniform statistical cluster points presented here are also closelyrelated to earlier results regarding statistical convergence and statistical cluster points of a sequence.
Examples Of Self-Dual Codes Over Some Sub-Hopf Algebras Of The Steenrod Algebra, Tane Vergi̇li̇, İsmet Karaca
Examples Of Self-Dual Codes Over Some Sub-Hopf Algebras Of The Steenrod Algebra, Tane Vergi̇li̇, İsmet Karaca
Turkish Journal of Mathematics
Codes over the finite sub-Hopf algebras $A(n)$ of the (mod 2) Steenrod algebra $\mathcal{A}$ were studied by Dougherty and Vergili. In this paper we study some Euclidean and Hermitian self-dual codes over $A(n)$ by considering Milnor basis elements.
Generalized Crossed Modules And Group-Groupoids, Mustafa Habi̇l Gürsoy, Hati̇ce Aslan, İlhan İçen
Generalized Crossed Modules And Group-Groupoids, Mustafa Habi̇l Gürsoy, Hati̇ce Aslan, İlhan İçen
Turkish Journal of Mathematics
In this present work, we present the concept of a crossed module over generalized groupsand we call it a "generalized crossed module". We also define a generalizedgroup-groupoid. Furthermore, we show that the category of generalized crossedmodules is equivalent to that of generalized group-groupoids whose object sets are abelian generalized group.
Piecewise Asymptotically Almost Periodic Solution Of Neutral Volterra Integro-Differential Equations With Impulsive Effects, Zhinan Xia
Turkish Journal of Mathematics
In this paper, we investigate the existence and uniqueness ofa piecewise asymptotically almost periodic mild solution tononautonomous neutral Volterra integro-differential equations withimpulsive effects in Banach space. The working tools are based onthe Krasnoselskii's fixed point theorem and semigroup theory. Inorder to illustrate our main results, we study the piecewiseasymptotically almost periodic solution of the impulsive partialdifferential equations with Dirichlet conditions.