Double deferred \(f\)-statistical convergence of order \(\alpha\). (English) Zbl 1453.40008
Summary: In this paper, we introduced the concepts of double deferred \(f\)-density, double deferred statistical convergence and double deferred Cesàro summability of order \(\alpha\) defined by a modulus function. We have obtained important results and some inclusion theorems between these notions.
MSC:
40A35 | Ideal and statistical convergence |
40G05 | Cesàro, Euler, Nörlund and Hausdorff methods |
40H05 | Functional analytic methods in summability |
40F05 | Absolute and strong summability |