Current Topics in Summability Theory and Applications

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.

Chapter 1. An Introduction to Summability Methods. - Chapter 2. Some Topics in Summability Theory. - C
hapter 3. Summability and Convergence using Ideals. - Chapter 4. Convergence Acceleration and Improvement by Regular Matrices. - Chapter 5. On Summability, Multipliability and Integrability. - C
hapter 6. Multi-dimensional Summability Theory and Continuous Wavelet Transform. - Chapter 7. Absolute Riesz and Related Summability Methods. - Chapter 8. Some Applications of Summability Theory. - Chapter 9. Degree of Approximation of Functions through Summability Methods.