On generalized statistically convergent functions via ideals

Savas E.

Applied Mathematics and Information Sciences, vol.10, no.3, pp.943-947, 2016 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 10 Issue: 3
  • Publication Date: 2016
  • Doi Number: 10.18576/amis/100312
  • Journal Name: Applied Mathematics and Information Sciences
  • Journal Indexes: Scopus
  • Page Numbers: pp.943-947
  • Keywords: Filter, I- statistical convergence, Iλ - statistical convergence, Ideal, Real-valued function
  • Uşak University Affiliated: No

Abstract

In this paper, we introduce the notions of [V, λ]-summability and λ-statistical convergence of function by taking a nonnegative real-valued Lebesque measurable function in the interval (1, ∞) and introduce new notions, namely, [V, λ ] (I)- summability, and Iλ-statistical convergence of function. We mainly examine the relation between these two new methods.