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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