Advances in Dynamical Systems and Applications
  • Year: 2006
  • Volume: 1
  • Issue: 1

On summability factors for

  • Author:
  • B.E. Rhoades1, Ekrem Savaş2
  • Total Page Count: 11
  • Page Number: 79 to 89

1Department of Mathematics, Indiana University, Bloomington, IN 474057106, U.S.A. E-mail: rhoades@indiana.edu

2Department of Mathematics, Yüzüncü Yil University, Van, Turkey. E-mail: ekremsavas@yahoo.com

AMS subject classification: 40F05, 40D25.

Abstract

In this paper necessary and sufficient conditions are obtained for ∑ anλn to be summable, k > 1, whenever ∑ an is (N,p,q) bounded.

Keywords

Absolute summability factors, infinite series, weighted mean