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Advances in Summability and Approximation Theory, Mohiuddine S. A., Acar Tuncer


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Автор: Mohiuddine S. A., Acar Tuncer
Название:  Advances in Summability and Approximation Theory
ISBN: 9789811330766
Издательство: Springer
Классификация:



ISBN-10: 981133076X
Обложка/Формат: Hardcover
Страницы: 241
Вес: 0.54 кг.
Дата издания: 29.01.2019
Язык: English
Издание: 1st ed. 2018
Иллюстрации: 9 illustrations, color; 1 illustrations, black and white; xiii, 241 p. 10 illus., 9 illus. in color.
Размер: 234 x 156 x 16
Читательская аудитория: Professional & vocational
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: 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 in other 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 polynomials play a highly significant role due to their simple and useful structure. And, during the last few decades, different types of research have been dedicated to improving the rate of convergence and decreasing the error of approximation.
Дополнительное описание: ?Chapter 1. A Survey for Paranormed Sequence Spaces Generated by Infinite Matrices.- Chapter 2. Tauberian Conditions under which Convergence Follows from Statistical Summability by Weighted Means.- Chapter 3. Applications of Fixed Point Theorems and Gener



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