Generalized summability methods of functions using ideals

Savaş E.

International Conference on Advancements in Mathematical Sciences, AMS 2015, Antalya, Turkey, 5 - 07 November 2015, vol.1676 identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1676
  • Doi Number: 10.1063/1.4930435
  • City: Antalya
  • Country: Turkey
  • Keywords: Filter, I-lacunary statistical convergence, I-statistical convergence, Ideal, Nonnegative real-valued function
  • Uşak University Affiliated: No

Abstract

In this paper, we shall make a new approach to two well known summability methods by using ideals and introduce new notions, namely, a-statistical convergence and a-lacunary statistical convergence by taking a nonnegative real-valued Lebesque measurable function in the interval (1, âž) and mainly investigate their relationship and also make some observations about these classes.