Summability Theory and Its Applications

Feyzi Başar

• Publisher: Chapman and Hall/CRC
• Year: 2022
• Print ISBN: 9781032275369
• eBook ISBN: 9781000599183
• Topic: Mathematics
• Subtopic: Functional Analysis
• Index: Mathematics

Summability Theory and Its Applications explains various aspects of summability and demonstrates its applications in a rigorous and coherent manner. The content can readily serve as a reference or as a useful series of lecture notes on the subject.

This substantially revised new edition includes brand new material across several chapters as well as several corrections, including: the addition of the domain of Cesaro matrix C(m) of order m in the classical sequence spaces to Chapter 4; and introducing the domain of four-dimensional binomial matrix in the spaces of bounded, convergent in the Pringsheim's sense, both convergent in the Pringsheim's sense and bounded, and regularly convergent double sequences, in Chapter 7.

Features

• Investigates different types of summable spaces and computes their dual
• Suitable for graduate students and researchers with a (special) interest in spaces of single and double sequences, matrix transformations and domains of triangle matrices
• Can serve as a reference or as supplementary reading in a computational physics course, or as a key text for special Analysis seminars.

Table of contents

• Cover Page
• Half-Title Page
• Title Page
• Copyright Page
• Dedication Page
• Contents
• Foreword
• Preface to Second Edition
• List of Tables
• List of Abbreviations and Symbols
• Author
• Chapter 1 ■ Infinite Matrices
• Chapter 2 ■ Normed and Paranormed Sequence Spaces
• Chapter 3 ■ Matrix Transformations in Sequence Spaces
• Chapter 4 ■ Matrix Domains in Sequence Spaces
• Chapter 5 ■ Spectrum of Some Particular Matrices
• Chapter 6 ■ Core of a Sequence
• Chapter 7 ■ Double Sequences
• Chapter 8 ■ Sequences of Fuzzy Numbers
• Chapter 9 ■ Absolute Summability
• Bibliography
• Index