Double uniform density and corresponding convergence of double sequences

Das P., Savas E.

Studia Scientiarum Mathematicarum Hungarica, vol.49, no.4, pp.419-435, 2012 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 49 Issue: 4
  • Publication Date: 2012
  • Doi Number: 10.1556/sscmath.49.2012.4.1208
  • Journal Name: Studia Scientiarum Mathematicarum Hungarica
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.419-435
  • Keywords: almost convergence, double sequences, double uniform density, four dimensional matrices, Iu-convergence, matrix transformation., Primary 40A05, Secondary 11C05, uniformly strong p-Cesàro convergence
  • Uşak University Affiliated: No

Abstract

We introduce the concept of double uniform density of subsets of and the study the corresponding convergence (namely, Iu-convergence) of double sequences. Further we solve an inequality related to the Iu-limit superior of bounded double sequences in line of [5].