A NEW ALMOST SEQUENCE SPACE of ORDER β

SAVAŞ E.

Sigma Journal of Engineering and Natural Sciences, vol.10, pp.193-199, 2019 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 10
  • Publication Date: 2019
  • Journal Name: Sigma Journal of Engineering and Natural Sciences
  • Journal Indexes: Scopus
  • Page Numbers: pp.193-199
  • Keywords: f -function, matrix transformations, Modulus function, new sequence spaces, λ – strong almost convergence of order β
  • Uşak University Affiliated: Yes

Abstract

In this paper we introduce and study some properties of the new sequence space of order β which is defined using almost convergence and the modulus function. Further, some connections between strong Vλβ ((B, f , M )) - almost summability of sequences and λ – strong almost convergence of order β with respect to a modulus are studied.