Special Summability Methods

Chapter

Abstract

In the current chapter, we introduce some special methods of summability, viz. the Abel method, the Weighted Mean method, the Euler method and the \((M, \lambda _n)\) or Natarajan method, and study their properties extensively. The connection between the Abel method and the Natarajan method is brought out.

Keywords

The Weighted Mean method Hardy Móricz and Rhoades The \((M, \lambda _n)\) or Natarajan method Y-method Consistent Translative Inclusion theorem Equivalence theorem The Abel method Product theorem The Euler method Invertible 

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Copyright information

© Springer Nature Singapore Pte Ltd. 2017

Authors and Affiliations

  1. 1.Formerly of the Department of MathematicsRamakrishna Mission Vivekananda CollegeChennaiIndia

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