Double uniform density and corresponding convergence of double sequences
Studia Scientiarum Mathematicarum Hungarica, vol.49, no.4, pp.419-435, 2012 (SCI-Expanded, Scopus)
- 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: double uniform density, I-u-convergence, almost convergence, uniformly strong p-Cesaro convergence, double sequences, four dimensional matrices, matrix transformation
- İstanbul Ticaret University Affiliated: Yes
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].