Conditions for the Equivalence of Power Series and Discrete Power Series Methods of Summability


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SEZER S. A. , ÇANAK İ.

FILOMAT, vol.29, no.10, pp.2275-2280, 2015 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 29 Issue: 10
  • Publication Date: 2015
  • Doi Number: 10.2298/fil1510275s
  • Title of Journal : FILOMAT
  • Page Numbers: pp.2275-2280

Abstract

Discrete power series methods were introduced and their regularity results were developed by Watson [Analysis (Munich), 18(1): 97-102, 1998]. It was shown by Watson that discrete power series method (P-lambda) strictly includes corresponding power series method (P). In the present work we present theorems showing when (P-lambda) and (P) are equivalent methods and when two discrete power series methods are equivalent.