Approximation by statistical convergence with respect to power series methods

Year 2022, , 1108 - 1120, 01.08.2022

Nilay Şahin Bayram , Sevda Yıldız

https://doi.org/10.15672/hujms.1022072

Cited By: 4

Abstract

In the present work, using statistical convergence with respect to power series methods, we obtain various Korovkin-type approximation theorems for linear operators defined on derivatives of functions. Then we give an example satisfying our approximation theorem. We study certain rate of convergence related to this method. In the final section we summarize these results to emphasize the importance of the study.

Keywords

Korovkin type approximation, statistical convergence with respect to power series method, rate of convergence, linear operators

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