Convergence Methods for Double Sequences and Applications

Convergence Methods for Double Sequences and Applications

This book exclusively deals with the study of almost convergence and statistical convergence of double sequences. The notion of “almost convergence” is perhaps the most useful notion in order to obtain a weak limit of a bounded non-convergent sequence. There is another notion of convergence known as...

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Bibliographic Details
Main Authors: Mursaleen, M. (Author), Mohiuddine, S.A (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: New Delhi : Springer India : Imprint: Springer, 2014.
Subjects:
Mathematics.
Mathematical analysis.
Analysis (Mathematics).
Approximation theory.
Sequences (Mathematics).
Sequences, Series, Summability.
Approximations and Expansions.
Analysis.
Online Access:Full Text via HEAL-Link
Table of Contents:
  • Chapter 1: Almost and statistical convergence of ordinary sequences: A preview
  • Chapter 2: Almost convergence of double sequences
  • Chapter 3: Almost regular matrices
  • Chapter 4: Absolute almost convergence of double sequences
  • Chapter 5: Almost convergence and core theorems
  • Chapter 6: Application of almost convergence in approximation theorems for functions of two variables
  • Chapter 7: Statistical convergence of double sequences
  • Chapter 8: Statistical approximation of positive linear operators
  • Chapter 9: Double series and convergence tests
  • References.

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