An analysis of the convergence problem of a function of hexagonal Fourier series in generalized Hölder norm using Hausdorff operator

Abstract

In the present paper, we obtain the results on the degree of convergence of an ‐periodic continuous function in generalized Hölder spaces using Hausdorff operator with monotonically non‐decreasing and monotonically non‐increasing rows of its hexagonal Fourier series. Some important corollaries are also deduced from our main theorems. Applications of main theorems are also obtained in this paper.