Some general Tauberian conditions for the weighted mean summability method

Totur U., ÇANAK İ.

COMPUTERS & MATHEMATICS WITH APPLICATIONS, vol.63, no.5, pp.999-1006, 2012 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 63 Issue: 5
  • Publication Date: 2012
  • Doi Number: 10.1016/j.camwa.2011.12.005
  • Title of Journal : COMPUTERS & MATHEMATICS WITH APPLICATIONS
  • Page Numbers: pp.999-1006

Abstract

In this paper, we obtain some new Tauberian theorems for the weighted mean summability method via a weighted general control modulo analogous to the one defined by Dik [M. Dik, Tauberian theorems for sequences with moderately oscillatory control moduli, Math. Moray. 5 (2001) 57-94]. (C) 2011 Elsevier Ltd. All rights reserved.