Double sequence spaces characterized by lacunary sequences

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Savaş E., Patterson R. F.

Applied Mathematics Letters, vol.20, no.9, pp.964-970, 2007 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 20 Issue: 9
  • Publication Date: 2007
  • Doi Number: 10.1016/j.aml.2006.09.008
  • Journal Name: Applied Mathematics Letters
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.964-970
  • Keywords: lacunary double sequences, almost lacunary sequences, P-convergent
  • Open Archive Collection: AVESIS Open Access Collection
  • İstanbul Ticaret University Affiliated: Yes

Abstract

In 1989, Das and Patel considered known sequence spaces to define two new sequence spaces called lacunary almost convergent and lacunary strongly almost convergent sequence spaces, and proved two inclusion theorems with respect to those spaces. In this paper, we shall extend those spaces to two new double sequence spaces and prove multidimensional analogues of Das and Patel's results. © 2007 Elsevier Ltd. All rights reserved.