Approximation of Almost Lipschitz Functions via Kλ-Summability Method

This paper presents a novel theorem on the approximation of almost Lipschitz functions using the Kλ-summability method in Fourier series. The Kλ-summability technique, first introduced by Karamata in 1935, has seen further development over the years with significant contributions from various researchers. This study builds upon previous work by exploring the degree of approximation for functions in the almost Lipschitz class, which generalizes the traditional Lipschitz class. Our results extend existing knowledge by providing new insights into the applicability of Kλ-summability in approximating these functions, thereby opening up avenues for future research in harmonic analysis and summability theory.