On some new sequence spaces and statistical convergence methods for double sequences. (English) Zbl 1315.40003
Summary: In this paper, we introduce some new double sequence spaces with respect to an Orlicz function and define two new convergence methods related to the concepts of statistical convergence and lacunary statistical convergence for double sequences. We also present some inclusion theorems for our newly defined sequence spaces and statistical convergence methods.
MSC:
| 40A35 | Ideal and statistical convergence |
| 40C05 | Matrix methods for summability |
| 40G15 | Summability methods using statistical convergence |
| 46A45 | Sequence spaces (including Köthe sequence spaces) |
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