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On the Statistical Convergence of Sequences of Fractal Integrable Functions: On the Statistical Convergence
Journal article   Peer reviewed

On the Statistical Convergence of Sequences of Fractal Integrable Functions: On the Statistical Convergence

Palle E. T. Jorgensen, Hemanta Kalita and Abhishikta Das
Complex analysis and operator theory, Vol.19(5), 89
07/2025
DOI: 10.1007/s11785-025-01717-3

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Abstract

In this manuscript, we propose a new definition for Fα -integrable functions. The work encompasses an analysis of multiple properties concerning sequences of such functions. We demonstrate the fundamental theorem of fractal calculus for Fα -integrable functions. Furthermore, we introduce the idea of statistical convergence for sequences of Fα -integrable functions, exploring several key properties related to this convergence.
Mathematics Analysis Mathematics and Statistics Operator Theory

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