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In this paper we investigate the degree of approximation of a function belonging to the generalized Zygmund class    \documentclass[12pt]{minimal} 				\usepackage{amsmath} 				\usepackage{wasysym}  				\usepackage{amsfonts}  				\usepackage{amssymb}  				\usepackage{amsbsy} 				\usepackage{mathrsfs} 				\usepackage{upgreek} 				\setlength{\oddsidemargin}{-69pt} 				\begin{document}$Z_{p}^{(\omega)}$\end{document}    Z  p   (  ω  )(   \documentclass[12pt]{minimal} 				\usepackage{amsmath} 				\usepackage{wasysym}  				\usepackage{amsfonts}  				\usepackage{amssymb}  				\usepackage{amsbsy} 				\usepackage{mathrsfs} 				\usepackage{upgreek} 				\setlength{\oddsidemargin}{-69pt} 				\begin{document}$p \ge1$\end{document}   p  ≥  1) by Hausdorff means of its Fourier series. We also deduce a corollary and mention a few applications of our main results.

Approximation of functions in the generalized Zygmund class using Hausdorff means