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Titlebook: Advances in Summability and Approximation Theory; S. A. Mohiuddine,Tuncer Acar Book 2018 Springer Nature Singapore Pte Ltd. 2018 Statistic

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期刊全称Advances in Summability and Approximation Theory
影响因子2023S. A. Mohiuddine,Tuncer Acar
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发行地址Discusses the theory of classical and modern methods in summability.Includes a technique for studying the existence of solutions of infinite systems of differential equations in Banach sequence spaces
图书封面Titlebook: Advances in Summability and Approximation Theory;  S. A. Mohiuddine,Tuncer Acar Book 2018 Springer Nature Singapore Pte Ltd. 2018 Statistic
影响因子.This book discusses the Tauberian conditions under which convergence follows from statistical summability, various linear positive operators, Urysohn-type nonlinear Bernstein operators and also presents the use of Banach sequence spaces in the theory of infinite systems of differential equations. It also includes the generalization of linear positive operators in post-quantum calculus, which is one of the currently active areas of research in approximation theory. Presenting original papers by internationally recognized authors, the book is of interest to a wide range of mathematicians whose research areas include summability and approximation theory..One of the most active areas of research in summability theory is the concept of statistical convergence, which is a generalization of the familiar and widely investigated concept of convergence of real and complex sequences, and it has been used in Fourier analysis, probability theory, approximation theory and inother branches of mathematics. The theory of approximation deals with how functions can best be approximated with simpler functions. In the study of approximation of functions by linear positive operators, Bernstein polynomi
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https://doi.org/10.1007/978-981-13-3077-3Statistical convergence; Sequence spaces; Positive linear operators; Bernstein polynomial; Baskakov poly
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Springer Nature Singapore Pte Ltd. 2018
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Efficient Control of Selective Simulations,In this chapter, we discuss the general convergence methods in orthogonal metric space. Also we study the applications of fixed point theorems to obtain the existence of a solution of differential and integral equations in orthogonal metric spaces.
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https://doi.org/10.1007/978-3-642-93159-8In this paper, we establish the existence of solutions of infinite systems of second-order differential equations in Banach sequence spaces by using techniques associated with measures of noncompactness in a combination of Meir–Keeler condensing operators. We illustrate our results with the help of some examples.
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Kathrin Schier,Simone Fischer-HübnerIn the present paper, we introduce the Chlodowsky variant of (., .) Szász–Mirakyan–Stancu operators on the unbounded domain which is a generalization of (., .) Szász–Mirakyan operators. We have also derived its Korovkin-type approximation properties and rate of convergence.
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