Classical Summability Theory

• Main Author: Natarajan, P.N (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2017.
• Subjects: Mathematics.; Matrix theory.; Algebra.; Functional analysis.; Sequences (Mathematics).; Sequences, Series, Summability.; Linear and Multilinear Algebras, Matrix Theory.; Functional Analysis.

This book presents results about certain summability methods, such as the Abel method, the Norlund method, the Weighted mean method, the Euler method and the Natarajan method, which have not appeared in many standard books. It proves a few results on the Cauchy multiplication of certain summable ser...

Table of Contents:

• Chapter 1. Brief Introduction, General Summability Theory and Steinhaus Type Theorems
• Chapter 2. Core of a Sequence and the Matrix Class
• Chapter 3. Special Summability Methods
• Chapter 4. More Properties of the Method and Cauchy Multiplication of Certain Summable Series
• Chapter 5. The Silverman-Toeplitz, Schur's and Steinhaus Theorems for 4-dimensional Infinite Matrices
• Chapter 6. The Norlund, Weighted Mean and Methods for Double Sequences.