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Approximation via statistical relative uniform convergence of sequences of functions at a point with respect to power series method

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Abstract

In the present paper, we generalize the notion of \(P-\)statistical convergence and we first define the notion of \(P-\)statistical relative uniform convergence of sequences of functions at a point. We demonstrate an approximation theorem for a sequence of functions. Also, we give an example, showing that our result is strict generalization of the corresponding classical ones. In the final section, we study the rates of convergence.

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Correspondence to Sevda Yıldız.

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Demirci, K., Dirik, F. & Yıldız, S. Approximation via statistical relative uniform convergence of sequences of functions at a point with respect to power series method. Afr. Mat. 34, 39 (2023). https://doi.org/10.1007/s13370-023-01078-0

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