@article{article_1566336, title={Approximation properties of convolution operators via statistical convergence based on a power series}, journal={Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics}, volume={74}, pages={92–102}, year={2025}, DOI={10.31801/cfsuasmas.1566336}, author={Dinar, Ramazan and Yurdakadim, Tuğba}, keywords={Power series method, statistical convergence, convolution operators, Korovkin type approximation, rate of convergence}, 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 $C^*$.}, number={1}, publisher={Ankara University}, organization={There is no funding.}