I-localized Sequence in Two Normed Spaces


YAMANCI U. , SAVAŞ E., GÜRDAL M.

Malaysian Journal of Mathematical Science, vol.14, no.3, pp.491-503, 2020 (Journal Indexed in ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 14 Issue: 3
  • Publication Date: 2020
  • Title of Journal : Malaysian Journal of Mathematical Science
  • Page Numbers: pp.491-503
  • Keywords: Ideal convergence, 2-normed space, ideal localor of the sequence, Cauchy sequence, uniformly localized sequence, STATISTICAL CONVERGENCE, IDEAL CONVERGENCE

Abstract

In this paper, our aim is to introduce the I-localized and the I*-localized sequences in 2-normed spaces and study the fundamental properties of I-localized sequences. Under some conditions, we show that I-localized sequence is an I-Cauchy sequence. Furthermore, the definition of uniformly I-localized sequences in 2-normed spaces is given, and some results related with this concept are obtained.