On the Statistical Convergence of Sequences of Fractal Integrable Functions

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发表日期：

2025年5月26日

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Palle E. T. Jorgensen,
Hemanta Kalita,
Abhishikta Das

摘要

In this manuscript, we propose a new definition for $\mathcal {F}^\alpha $ $F^{α}$ -integrable functions. The work encompasses an analysis of multiple properties concerning sequences of such functions. We demonstrate the fundamental theorem of fractal calculus for $\mathcal {F}^\alpha $ $F^{α}$ -integrable functions. Furthermore, we introduce the idea of statistical convergence for sequences of $\mathcal {F}^\alpha $ $F^{α}$ -integrable functions, exploring several key properties related to this convergence.