Dutta H., Rhoades B.E. (Eds.) Current Topics in Summability Theory and Applications

Springer, 2016. — 431 p. — ISBN10: 9811009120.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.An Introduction to Summability Methods
Some Topics in Summability Theory
Summability and Convergence Using Ideals
Convergence Acceleration and Improvement by Regular Matrices
On Summability, Multipliability, and Integrability
Multi-dimensional Summability Theory and Continuous Wavelet Transform
Absolute Riesz and Related Summability Methods
Some Applications of Summability Theory
Degree of Approximation of Functions Through Summability Methods