$q$-Cesaro Summable Sequences Defined by Orlicz Function

Year 2026, Volume: 14 Issue: 1 , 135 - 141 , 30.04.2026

Sabiha Tabassum , Praveen Kumar , Ayhan Esi

https://izlik.org/JA22MJ57CH

Abstract

This paper introduces and systematically investigates the sequence spaces defined by the combination of q-calculus, statistical convergence, and Orlicz functions. We begin by defining the concept of q-statistical convergence with respect to an Orlicz function M, denoted by SMq . Furthermore, we introduce the notion of q-strong summability w.r.t an Orlicz function M, denoted by WMq . We establish several inclusion relations between the spaces SMq and WMq and other classical sequence spaces. We prove that, under suitable conditions, both SMq and WMq are linear spaces.

Keywords

q-calculus , statistical convergence , strong summability , Orlicz function

Ethical Statement

This article does not contain any studies with human participants or animals performed by any of the authors.

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