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    $q$-Cesaro Summable Sequences Defined by Orlicz Function
    (Mehmet Zeki SARIKAYA, 2026) Tabassum, Sabiha; Kumar, Praveen; Esi, Ayhan
    [Abstract Not Available]
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    q-Cesàro Summable Sequences Defined by Orlicz Function
    (Prof. Dr. Mehmet Zeki SARIKAYA, 2026) Tabassum, Sabiha; Kumar, Praveen; Esi, Ayhan
    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. © 2026, Prof. Dr. Mehmet Zeki SARIKAYA. All rights reserved.