@article{article_1197502, title={Approximation on Modular Spaces via P-Statistical Relative A-Summation Process}, journal={Sinop Üniversitesi Fen Bilimleri Dergisi}, volume={7}, pages={152–172}, year={2022}, DOI={10.33484/sinopfbd.1197502}, author={Demirci, Kamil and Yıldız, Sevda}, keywords={Korovkin theorem, modular space, statistical convergence, matrix summability, power series method}, abstract={In this paper, we first present the notions of statistical relative modular and F-norm convergence concerning the power series method. Then, we also present theorems of Korovkin-type via statistical relative A-summation process via power series method on modular spaces, including as particular cases weighted spaces, certain interpolation spaces, Orlicz and Musielak-Orlicz spaces, Lp spaces and many others. Later, we consider some application to Kantorovich-type operators in Orlicz spaces. Moreover, we present some estimates of rates of convergence via modulus of continuity. We end the paper with giving some concluding remarks.}, number={2}, publisher={Sinop University}