Approximation properties of convolution operators via statistical convergence based on a power series

Abstract

. In this study, our main goal is to obtain approximation properties of convolution operators for multivariables via a special method which is not included in any other methods given before, also known as P-statistical convergence. We present the P-statistical rate of this approximation and provide examples of convolution operators. It is noteworthy to express that one can not approximate f by earlier results for our examples. Therefore, our results fill an important gap in the existing literature. Furthermore, we also present a P-statistical approximation result in the space of periodic continuous functions of period 2 pi, for short C & lowast;.