On generalizations of certain summability methods using ideals

Das P., Savas E., Ghosal S. K.

Applied Mathematics Letters, vol.24, no.9, pp.1509-1514, 2011 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 24 Issue: 9
  • Publication Date: 2011
  • Doi Number: 10.1016/j.aml.2011.03.036
  • Journal Name: Applied Mathematics Letters
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1509-1514
  • Keywords: Closed subspace, Filter, I-lacunary statistical convergence, I-statistical convergence, Ideal
  • Uşak University Affiliated: No

Abstract

In this paper, following the line of Savas and Das (2011) [10], we provide a new approach to two well-known summability methods by using ideals, introduce new notions, namely, I-statistical convergence and I-lacunary statistical convergence, investigate their relationship, and make some observations about these classes. © 2011 Elsevier Ltd. All rights reserved.