Abstract:
In this paper we study the deviations of periodic functions of two variables from the integral mean values and their Fourier transformations. In the class of uniform almost periodic functions of two variables we obtain estimates for the deviation from sums of the Zygmund–Marcinkiewicz type.
Keywords:Fourier series, integral mean values, Fourier transformation, sums of the Zygmund–Marcinkiewicz type, trigonometric polynomials, almost periodic functions, Fourier exponents.