Necessary conditions for absolute double matrix summability factors

Savaş E., Rhoades B.

Periodica Mathematica Hungarica, vol.62, no.2, pp.121-126, 2011 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 62 Issue: 2
  • Publication Date: 2011
  • Doi Number: 10.1007/s10998-011-6121-9
  • Journal Name: Periodica Mathematica Hungarica
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.121-126
  • Keywords: absolute summability factors, doubly triangular summability
  • Uşak University Affiliated: No

Abstract

We obtain necessary conditions for a doubly triangular matrix A to have the property that a double series ΣΣ λmnbmn is summable {pipe}A{pipe}k whenever the series ΣΣbmn is bounded {pipe}A{pipe}k. © 2011 Akadémiai Kiadó, Budapest, Hungary.