Double sequence spaces characterized by lacunary sequences

Savaş E., Patterson R. F.

Applied Mathematics Letters, vol.20, no.9, pp.964-970, 2007 (SCI-Expanded) 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: Almost lacunary sequences, Lacunary double sequences, P-convergent
  • Uşak University Affiliated: No

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.