Conditions for the equivalence of power series and discrete power series methods of summability
Articles > Article · 2015
Authors: Sefa Anıl Sezer, İbrahim ÇANAK
Filomat, Journal Indexed in SCI Expanded, International, Scopus, 2015, vol 29, pp 2275-2280
DOI: 10.2298/FIL1510275S
Summary
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 (Pλ) strictly includes corresponding power series method (P). In the present work we present theorems showing when (Pλ) and (P) are equivalent methods and when two discrete power series methods are equivalent.