Current Topics in Summability Theory and Applications

✍ Scribed by Hemen Dutta, Billy E. Rhoades (eds.)

• Publisher: Springer
• Year: 2016
• Tongue: English
• Leaves: 436
• Edition: 1st ed.
• Category: Library

✦ Synopsis

This book discusses recent developments in and contemporary research on summability theory, including general summability methods, direct theorems on summability, absolute and strong summability, special methods of summability, functional analytic methods in summability, and related topics and applications. All contributing authors are eminent scientists, researchers and scholars in their respective fields, and hail from around the world. The book can be used as a textbook for graduate and senior undergraduate students, and as a valuable reference guide for researchers and practitioners in the fields of summability theory and functional analysis. 

Summability theory is generally used in analysis and applied mathematics. It plays an important part in the engineering sciences, and various aspects of the theory have long since been studied by researchers all over the world. 

✦ Table of Contents

Front Matter....Pages i-xiii
An Introduction to Summability Methods....Pages 1-27
Some Topics in Summability Theory....Pages 29-75
Summability and Convergence Using Ideals....Pages 77-140
Convergence Acceleration and Improvement by Regular Matrices....Pages 141-180
On Summability, Multipliability, and Integrability....Pages 181-239
Multi-dimensional Summability Theory and Continuous Wavelet Transform....Pages 241-311
Absolute Riesz and Related Summability Methods....Pages 313-355
Some Applications of Summability Theory....Pages 357-411
Degree of Approximation of Functions Through Summability Methods....Pages 413-431