Generalized Statistical Convergence and Statistical Core of Double Sequences

Mursaleen M., Çakan C., Mohiuddine S. A., Savaş E.

Acta Mathematica Sinica, English Series, vol.26, no.11, pp.2131-2144, 2010 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 26 Issue: 11
  • Publication Date: 2010
  • Doi Number: 10.1007/s10114-010-9050-2
  • Journal Name: Acta Mathematica Sinica, English Series
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.2131-2144
  • Keywords: core, Double sequence, matrix transformation, statistical convergence
  • Uşak University Affiliated: No

Abstract

In this paper we extend the notion of λ-statistical convergence to the (λ,μ)statistical convergence for double sequences x = (xjk). We also determine some matrix transformations and establish some core theorems related to our new space of double sequences Sλ,μ. © 2010 Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg.