Strongly (V-lambda, A, Delta(n)((vm)), p)-summable sequence spaces defined by an Orlicz function

Dutta H., Bilgin T.

APPLIED MATHEMATICS LETTERS, vol.24, no.7, pp.1057-1062, 2011 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 24 Issue: 7
  • Publication Date: 2011
  • Doi Number: 10.1016/j.aml.2011.01.022
  • Journal Name: APPLIED MATHEMATICS LETTERS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1057-1062
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

We introduce the strongly (V-lambda, A, Delta(n)((v,m)) p)-summable sequences and give the relation between the spaces of strongly (V-lambda, A, Delta(n)((v,m)) p)-summable sequences and strongly (V-lambda, A, Delta(n)((v,m)) p)-summable sequences with respect to an Orlicz function when A = (a(ik)) is an infinite matrix of complex numbers, Delta(n)((v,m)) is a generalized difference operator and p = (p(i)) is a sequence of positive real numbers. Also we give natural relationship between strongly (V-lambda, A,Delta(n)((vm)) p)-convergence with respect to an Orlicz function and strongly S-lambda (A,Delta(n)((vm)))-statistical convergence. (C) 2011 Elsevier Ltd. All rights reserved.