Multidimensional Linear Functional Connected with Double Strong Cesàro Summability

Patterson R. F., Savas R., SAVAŞ E.

Indian Journal of Pure and Applied Mathematics, vol.51, no.1, pp.143-153, 2020 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 51 Issue: 1
  • Publication Date: 2020
  • Doi Number: 10.1007/s13226-020-0390-z
  • Journal Name: Indian Journal of Pure and Applied Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, zbMATH
  • Page Numbers: pp.143-153
  • Keywords: Discrete functional analysis, double functions, P-convergent, Pringsheim, sequences spaces
  • Uşak University Affiliated: Yes

Abstract

In 1964 Borwein presented functional characterization of the normed linear spaces wp and Wp. These two spaces are clearly linked to Cesàro summability [C, 1] in particular it should be noted that a sequence x in wp if and only if x is Cesàro summable. The goal of this paper includes extension of these notions to double function space thus producing multidimensional analog of Borwein’s results.