Summability Theory and Its Applications

This book delves into summability theory, offering rigorous insights and applications. It is a key resource for students and researchers alike.

This book provides a comprehensive exploration of summability, detailing its various aspects and applications in a clear and systematic manner. Summability Theory and Its Applications serves as both a valuable reference and a practical set of lecture notes, making it accessible for those looking to deepen their understanding of the subject. The content is meticulously organized to facilitate learning and comprehension, catering to both newcomers and experienced researchers in the field.

In this significantly revised edition, readers will find new material introduced across several chapters, enhancing the book's depth and relevance. Notable updates include the addition of the domain of the Cesaro matrix C(m) of order m within classical sequence spaces in Chapter 4. Additionally, Chapter 7 introduces the domain of four-dimensional binomial matrices, focusing on bounded and convergent sequences, as well as regularly convergent double sequences. These revisions ensure that the book remains current with ongoing developments in summability theory.

The text features a thorough investigation of various types of summable spaces and their dual computations. It is particularly suitable for graduate students and researchers with a keen interest in single and double sequence spaces, matrix transformations, and triangle matrix domains. This makes Summability Theory and Its Applications an essential resource for those involved in computational physics courses or special analysis seminars.