On Absolute Cesaro Summability


Şevli H. , Savas E.

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2009 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume:
  • Publication Date: 2009
  • Doi Number: 10.1155/2009/279421
  • Title of Journal : JOURNAL OF INEQUALITIES AND APPLICATIONS

Abstract

Denote by A(k) the sequence space defined by A(k) = {(s(n)) : Sigma(infinity)(n=1) n(k-1)vertical bar a(n)vertical bar(k) < infinity, a(n) = s(n) - s(n-1)} for k >= 1. In a recent paper by E. Savas, and H. Sevli (2007), they proved every Cesaro matrix of order alpha, for alpha > - 1, (C, alpha) is an element of B(A(k)) for k >= 1. In this paper, we consider a further extension of absolute Cesaro summability. Copyright (C) 2009 H. Sevli and E. Savas.