A note on strong matrix summability via ideals

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Savas E., Das P., Dutta S.

Applied Mathematics Letters, vol.25, no.4, pp.733-738, 2012 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 25 Issue: 4
  • Publication Date: 2012
  • Doi Number: 10.1016/j.aml.2011.10.012
  • Journal Name: Applied Mathematics Letters
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.733-738
  • Keywords: Ideal, Filter, A(1)-statistical convergence, Strong A(1)-summability, Orlicz function
  • Open Archive Collection: AVESIS Open Access Collection
  • İstanbul Ticaret University Affiliated: Yes

Abstract

Following the line of recent works of Das et al. (2011) [15] and Savas and Das (2011) [19] we apply the notion of ideals to strong matrix summability, and in this note, we introduce the notion of strong AI-summability with respect to an Orlicz function. We make certain investigations on the classes of sequences arising out of this new summability method. © 2011 Elsevier Ltd. All rights reserved.