Some sequence spaces defined by |A| summability and a modulus function in seminormed spacem

Bala I., Bhardwaj V. K., Savas E.

Thai Journal of Mathematics, vol.11, no.3, pp.623-631, 2013 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 11 Issue: 3
  • Publication Date: 2013
  • Journal Name: Thai Journal of Mathematics
  • Journal Indexes: Scopus
  • Page Numbers: pp.623-631
  • Keywords: Modulus function, Sequence space, Summability, Topological linear space
  • Uşak University Affiliated: No

Abstract

The object of this paper is to introduce a new sequence space which arises from the notions of |A| summability and a modulus function in seminormed complex linear space. We examine various algebraic and topological properties of this space and also investigate some inclusion relations. Our results generalize and unify the corresponding earlier results of Altin et al. [1], Bhardwaj and Singh [2]. © 2013 by the Mathematical Association of Thailand. All rights reserved.