Some necessary conditions for absolute matrix summability factors

Rhoades B., SAVAŞ E.

Indian Journal of Pure and Applied Mathematics, vol.33, no.7, pp.1003-1009, 2002 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 33 Issue: 7
  • Publication Date: 2002
  • Journal Name: Indian Journal of Pure and Applied Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1003-1009
  • Keywords: Absolute Matrix Summability, Lower Triangular Matrix
  • Uşak University Affiliated: No

Abstract

We obtain necessary conditions for a lower triangular matrix to have the property that ∑ an λn is summable |T|k whenever the series ∑ an is bounded |T|k.