Approximation by statistical convergence with respect to power series methods

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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