2D коэффициенты Фурье на классе дифференцируемых функций и сплайн-интерлинация

Cubature formulas of the calculation of two dimensions of Fourier's coefficients are presented by using interlineation in the case when information about function is set of lines on the class $| f^{(r;0)}(x;y) | \leqslant M,\ | f^{(0;r)}(x;y) | \leqslant M,\ | f^{(r;r)}(x;y) | \leqslant \tilde{M},\ r = 1,2.$ The error of the cubature formulas is evaluated by errors of quadratures formulas.