On the rate of convergence of Cesàro means of double Fourier series of functions of generalized bounded variation

In this paper, the rate of convergence of Cesàro means of the double Fourier series of a $2\pi$-periodic function in each variable and of generalized bounded variation, is estimated. The result obtained is a generalization of a result of S. M. Mazhar for a single Fourier series and of our earlier result for a function of two variables.