Erschienen: 14.01.2019 Abbildung von Mohiuddine / Acar | Advances in Summability and Approximation Theory | 1. Auflage | 2019 |

Mohiuddine / Acar

Advances in Summability and Approximation Theory

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Buch. Hardcover

1st ed. 2018. 2019

xiii, 241 S. 1 s/w-Abbildung, 9 Farbabbildungen, Bibliographien.

In englischer Sprache

Springer. ISBN 9789811330766

Format (B x L): 15,5 x 23,5 cm

Gewicht: 553 g


This book discusses the domain of triangle in various sequence spaces, 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.

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