MMN-5013

Strong almost convergence with respect to an Orlicz function

İlknur Özgüç;

Abstract

In this paper, using an Orlicz function we extend the concept of strong almost convergence and show that strong almost convergence, uniform statistical convergence and strong almost convergence with respect to an Orlicz function are all equivalent on bounded sequences. The main tool in proving the result is to consider ideals in bounded sequences.


Vol. 27 (2026), No. 1, pp. 307-313
DOI: https://doi.org/10.18514/MMN.2026.5013


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