Lacunary statistical convergence of multiple sequences

SAVAŞ E., Patterson R. F.

Applied Mathematics Letters, vol.19, no.6, pp.527-534, 2006 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 19 Issue: 6
  • Publication Date: 2006
  • Doi Number: 10.1016/j.aml.2005.06.018
  • Journal Name: Applied Mathematics Letters
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.527-534
  • Keywords: Double lacunary sequences, P-convergent
  • Uşak University Affiliated: No

Abstract

Quite recently, Mursaleen and Edely [M. Mursaleen, O.H. Edely, Statistical convergence of double sequences, J. Math. Anal. Appl. (in press)], defined the statistical analogue for double sequences x={xk,l} as follows: A real double sequence x={xk,l} is said to be P-statistically convergent to L provided that for each ε>0P-limm,n1mn{numbers of (j,k):j