Generalized Cesàro summability of Fourier series and its applications

Abstract

In this paper, by using generalized Cesàro means based on q-integers, we study on approximatingcontinuous and periodic functions by their Fourier series. We also discuss its connection with the concept of statisticalconvergence. At the end of the paper, some applications and graphical illustrations are also provided.Keywords: Fourier analysis, Cesàro summability, Fejér’s kernel, q-integers, statistical convergence.