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Öğe Operators ideals of generalized modular spaces of Cesaro type defined by weighted means(Eudoxus Press, Llc, 2015) Şimşek, Necip; Karakaya, Vatan; Polat, HarunIn this work, we investigate the ideal of all bounded linear operators between any arbitrary Banach spaces whose sequence of approximation numbers belong to the generalized modular spaces of Cesaro type defined by weighted means. Also, we show that the completeness of obtained operator ideals.Öğe Neutrosophic normed spaces and statistical convergence(Springer, 2020) Kirişçi, Murat; Şimşek, NecipWe define the neutrosophic normed space and the statistical convergence in neutrosophic normed space. We give the statistically Cauchy sequence in neutrosophic normed space and present the statistically completeness in connection with a neutrosophic normed space.Öğe Reproducing kernel method for the solutions of non-linear partial differential equations(Taylor & Francis, 2021) Nuray Yıldırım, Elif; Akgül, Ali; İnç, MustafaIn modeling of a lots of complex physical problems and engineering process, the non-linear partial differential equations have a very important role. Development of dependable and effective methods to solve such types equations are constructed. In the suggested technique, reproducing kernel method is examined to approximate the solutions together with reproducing kernel functions. In order to demonstrate accuracy, the performance and reliability of the proposed method, the results of the experiments and the available results are compared. There is high stability for a higher degree of accuracy between the solutions.Öğe Reproducing kernel functions and homogenizing transforms(Vinča Institute of Nuclear Sciences, 2021) Nuray Yıldırım, Elif; Akgül, Ali; İnç, Mustafatheir initial and boundary conditions. Especially higher order differential equations play a vital role in this process. The method for solution and its effectiveness are as important as the modelling. In this paper, on the basis of reproducing kernel theory, the reproducing kernel functions have been obtained for solving some non-linear higher order differential equations. Additionally, for each problem the homogenizing transforms have been obtained.Öğe On solutions of a higher order nonhomogeneous ordinary differential equation(Fuat Usta, 2020) Nuray Yıldırım, Elif; Akgül, AliHigher order differential equations (ODE) has an important role in the modelling process. It is also much significant which the method is used for the solution. In this study, in order to get the approximate solution of a nonhomogeneous initial value problem, reproducing kernel Hilbert space method is used. Reproducing kernel functions have been obtained and the given problem transformed to the homogeneous form. The results have been presented with the graphics. Absolute errors and relative errors have been given in the tables.Öğe Several Hardy-type inequalities with weights related to Baouendi–Grushin operators(Tübitak, 2018) Yener, AbdullahIn this paper we shall prove several weighted Lp Hardy-type inequalities associated to the Baouendi–Grushintype operators.
