Some geometric properties of a new difference sequence space defined by de la Vallee-Poussin mean

Et M., Karakas M., KARAKAYA V.

APPLIED MATHEMATICS AND COMPUTATION, vol.234, pp.237-244, 2014 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 234
  • Publication Date: 2014
  • Doi Number: 10.1016/j.amc.2014.01.122
  • Journal Name: APPLIED MATHEMATICS AND COMPUTATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.237-244
  • Keywords: Cesaro difference sequence space, Luxemburg norm, Banach Saks property, Convex modular, Property (H), CESARO
  • Yıldız Technical University Affiliated: Yes

Abstract

In this paper, wedefine a new generalized difference sequence space C-(p) Delta(m)(lambda) and consider it equipped with the Luxemburg norm under which it is a Banach space and we show that the space C-(p) Delta(m)(lambda) possess Banach Saks property of type p, uniform opial property and property (H), where p = (p(n)) is a bounded sequence of positive real numbers with pn > 1 for all n is an element of N. Also, we give some results about the fixed point theory for the spaces C-(p) D m d and C-p(Delta(m)) d (1