Advances in Summability and Approximation Theory

Autor: S. A. Mohiuddine, Tuncer Acar

Jazyk:

Vazba: Pevná

Vydavatel: Springer Verlag, Singapore

Dostupnost: Skladem u dodavatele

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This book discusses the Tauberian conditions under which convergence follows from statistical summab...

Informace o knize

Autor

S. A. Mohiuddine, Tuncer Acar

Jazyk

Angličtina

Vazba

Kniha - Pevná

Vydáno

2019

Stránek

241

EAN

9789811330766

ISBN

9789811330766

Enbook ID

20344021

Vydavatel

Springer Verlag, Singapore

Hmotnost

553

Rozměry

155 x 235 x 19

Kompletní popis

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.

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Advances in Summability and Approximation Theory

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