Rate of P-convergence over equivalence classes of double sequence spaces

Patterson R. F., Savas E.

Positivity, vol.16, no.4, pp.739-749, 2012 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 16 Issue: 4
  • Publication Date: 2012
  • Doi Number: 10.1007/s11117-011-0143-7
  • Journal Name: Positivity
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.739-749
  • Keywords: Asymptotically equivalent, Divergent double sequences, P-convergent, Pringsheim limit point
  • Uşak University Affiliated: No

Abstract

This paper presents multidimensional characterizations of equivalence classes of double sequences. These characterizations will be analyzed by presenting theorems of the following type: If A is convergent preserving over {x ∈ S″0 : x equivalent to b} then there exists a b′ ∈ S″0 such that b converges faster than b′ and A is convergent preserving over {x ∈ S″0 : x equivalent to b′} © 2011 Springer Basel AG.