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

Dutta H., Bilgin T.

APPLIED MATHEMATICS LETTERS, cilt.24, sa.7, ss.1057-1062, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 24 Sayı: 7
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.aml.2011.01.022
  • Dergi Adı: APPLIED MATHEMATICS LETTERS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1057-1062
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

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.