Rate of convergence of double Fourier series of functions of generalized bounded variation

In this paper, the rate of convergence of the double Fourier series of a function 2π\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\pi$$\end{document}-periodic in each variable and of generalized bounded variation is estimated. The result obtained is a generalization of a result of Bojanić and Waterman for a single Fourier series and of a result of F. Móricz and consequently a result of Hardy for a function of two variables.