Approximation Properties of Hexagonal Fourier Series in the Generalized Hölder Metric

The generalized Hölder classes of H\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$H$$\end{document}-periodic continuous functions are defined, and the approximation properties of Cesàro (C,1)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(C,1)$$\end{document} and Abel-Poisson means of hexagonal Fourier series of such functions are investigated in the Hölder metric.