Approximation of Lipschitz Functions by (E,q) (C,1) Summability Method

In this study, we explore the degree of approximation of Lipschitz functions using the (E,q) (C,1) summability method within the context of Fourier series. While previous research has extensively examined the approximation of functions in generalized Lipschitz classes by Nörlund means, there is a paucity of work dedicated to the (E,q) (C,1) product summability approach. This paper aims to fill this gap by establishing new results on the degree of approximation of Lipschitz functions. Our findings indicate significant improvements in approximation accuracy, offering new insights and potential applications in modern analysis.