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On stable difference scheme for identification elliptic problem with integral and second kind boundary condition
(Maltepe Üniversitesi, 2021)In this study, the first order of accuracy difference scheme for approximate solution of source identification elliptic problem with integral and second kind boundary conditions is considered. Stability and coercive ... 
A numerical algorithm for the involutory parabolic problem with Neumann condition
(Maltepe Üniversitesi, 2021)In the present paper, the new absolute stable difference schemes for the numerical solution of the one dimensional parabolic partial differential equation with time involution are investigated. For first and second order ... 
Double almost lacunary summable sequences of weight g in 2normed spaces
(Maltepe Üniversitesi, 2021)The concept of Pconvergent double sequence spaces was presented in 1988 by Moricz and Rhoades, and also in 2005, the notion of almost lacunary strongly Pconvergent double sequences was introduced by Savas and Patterson, ... 
On strong Nβp(ρ)convergence and Sβ (ρ) −convergence
(Maltepe Üniversitesi, 2021)In this paper, we introduce the concept of strong ρ−convergence of order β ( or Nβ p (ρ) −convergence ) of sequence of real numbers and give some inclusion relations between the set of all ρ−statistical convergence of ... 
A new sequence space of order α and modulus function
(Maltepe Üniversitesi, 2021)In this paper we introduce and study some properties of the new sequence space of order α which is defined using the modulus and ϕ function. Furthermore some connections between Vα((T, ϕ)) strong summability of sequences ... 
Δm – weighted statistical convergence
(Maltepe Üniversitesi, 2021)In this study, we introduce and examine the concepts of Δm−weighted statistical convergence and Δm−weighted N, pn −summability. Also some relations between Δm−weighted statistical convergence and Δm−weighted N, ... 
Optimization of Bolza problem for thirdorder polyhedral delaydifferential inclusions with state constraints
(Maltepe Üniversitesi, 2021)The present paper studies a Bolza problem of optimal control theory with thirdorder polyhedral delaydifferential inclusions and state constraints. We aim to establish well verifiable sufficient conditions of optimality ... 
On Rmodified CrankNicholson difference schemes for the source identification parabolicelliptic problem
(Maltepe Üniversitesi, 2021)t. In the present paper, a spacedependent identification problem for parabolicelliptic equations is investigated. The second order of accuracy rmodified CrankNicholson difference schemes for the numerical solution of ... 
A high order of accuracy of difference schemes for the nonlocal boundary value Schrödinger problem
(Maltepe Üniversitesi, 2021)In this study, nonlocal boundary value Schr¨odinger type problem in a Hilbert space with the selfadjoint positive definite operator is investigated. Single step stable third and fourth order of accuracy difference schemes ... 
A note on parabolic differential equations on manifold
(Maltepe Üniversitesi, 2021)t. The present extended abstract considers the differential equations on smooth closed manifolds, investigates and establishes the wellposedness of nonlocal boundary value problems (NBVP) in Holder spaces. It also establishes ... 
The applications of nonpolynomial spline to the numerical solution for fractional differential equations
(Maltepe Üniversitesi, 2021)This paper presents a computation and discuss on nonpolynomial spline of fractional order to solve the differential equations with Caputo fractional derivative. Taylor series is applied to discretize the time derivative ... 
Solution of inverse problem for an elliptic equation by differential transform method
(Maltepe Üniversitesi, 2021)In this work, inverse problem for an elliptic equation is studied. We gave a numerical solution of inverse elliptic problem by differential transform method in test example. 
Ideal strong lacunary quasi Cauchy sequences in 2normed spaces
(Maltepe Üniversitesi, 2021)In this paper, we introduce and investigate ideal strong lacunary ward continuity in 2normed spaces. A function f on a subset A of a 2normed space X into X is ideal strongly lacunary ward continuous if it preserves ideal ... 
The jones spaces over RnI
(Maltepe Üniversitesi, 2021). The objective of this paper is to construct separable Banach spaces S Dp [R n I ] for 1 ≤ p ≤ ∞, each of which contains all of the standard L p [R n I ] spaces, as compact dense embedding. 
Delta quasi Cauchy sequences in metric spaces
(Maltepe Üniversitesi, 2021)t. In this extended abstract, we introduce the concept of delta quasi Cauchy sequences in metric spaces. A function f defined on a subset of a metric space X to X is called delta ward continuous if it preserves delta quasi ... 
On the boundedness of the Schrödinger type differential equation with time involution
(Maltepe Üniversitesi, 2021). In the present paper, the initial value problem for the Schrodinger ¨ type involutory partial differential equation is studied. Applying Green’s function of space operator, we get formula for solution of this problem. ... 
A note on the hyperbolicparabolic identification problem with nonlocal conditions
(Maltepe Üniversitesi, 2021). In the present paper, we study a source identification problem for hyperbolicparabolic equation with nonlocal conditions. The stability estimates for the solution of this source identification problem are established. ... 
Hyperbolictrigonometric tension Bspline Galerkin approach for the solution of Fisher equation
(Maltepe Üniversitesi, 2021)A Galerkin finite element method is constructed for computing solution of the Fisher equation. Hyperbolictrigonometric tension (HTT) Bsplines are used as weight and shape functions in the Galerkin approach. Fully ... 
Rayleigh Gamma gompertz distribution: Properties and applications
(Maltepe Üniversitesi, 2021)In this paper, Rayleigh Gamma Gompertz (RGGom), as a new compound distribution, is introduced. Various fundamental statistical properties of RGGom distribution, including explicit expressions for the noncentral rth ... 
Maximal inequalities with exponential decay under weak dependence conditions
(Maltepe Üniversitesi, 2021)We establish large deviation inequalities with exponential decay for the maximum of partial sums of subgaussian random variables. Applying our result to acceptable sequences of bounded mean zero random variables, we ...