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


Sezer S. A. , Çanak İ.

FILOMAT, cilt.29, ss.2275-2280, 2015

  • Cilt numarası: 29
  • Basım Tarihi: 2015
  • Doi Numarası: 10.2298/fil1510275s
  • Dergi Adı: FILOMAT
  • Sayfa Sayısı: ss.2275-2280

Özet

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.