Iλ-Statistically convergent functions of order α

Savaş E.

Filomat, vol.31, no.2, pp.523-528, 2017 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 31 Issue: 2
  • Publication Date: 2017
  • Doi Number: 10.2298/fil1702523s
  • Journal Name: Filomat
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.523-528
  • Keywords: Filter, I-statistical convergence of order α, Iλ statistical convergence of functions, Ideal, Statistical convergence of functions
  • Uşak University Affiliated: No

Abstract

In present paper, we further generalize the recently introduced summability method of [22] and introduce the new notion namely, Iλ statistical convergence of order α for a real valued function which is measurable in the interval (1,∞). We mainly investigate certain properties of this convergence. The study leaves some interesting open problems.