This paper introduces generalized statistical convergence and Cesàro summability for measurable functions, highlighting their significance.
In this paper, we introduce the concept of generalized statistical convergence of measurable functions of order α for 0<α ≤ 1 at ∞ and at a point c∈ R. In addition to this, we defined generalized strongly p-Ces\`{a}ro summability (0<p<∞) of a locally integrable function at ∞ and at a point c∈ R. Using these definitions we present some basic results.
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Kandemi̇r et al. (2025) studied this question.
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