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

Demirci, KamilDirik, FadimeYildiz, Sevda2025-03-232025-03-2320231012-94052190-7668https://doi.org/10.1007/s13370-023-01078-0https://hdl.handle.net/11486/6765In 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.eninfo:eu-repo/semantics/closedAccessPower series methodStatistical convergenceKorovkin theoremPositive linear operatorApproximation via statistical relative uniform convergence of sequences of functions at a point with respect to power series methodArticle34310.1007/s13370-023-01078-02-s2.0-85163766251Q2WOS:001022424100001N/A