Nechuyviter O. Optimal by order formulars of the evaluating of two dimensions of Fourier's coefficients with using spline-interlination.

The dissertation is devoted to optimal by order of exactness formulars of the evaluating of two dimensions of Fourier's coefficients with using spline-interlination. Тhe new formulars of the evaluating of two dimensions of Fourier's coefficients with using operators of spline- interlination (order 0,1,2,3) were gets. The main advantages of methods are high exactness of approximation, less amount of information of function during the calculation of Fourier's coefficients. Тhe new method of optimal by order of exactness formulars of the evaluating of two dimensions of Fourier's coefficients with using operators of spline-interlination on the lines of rectangulation were gets. The functions with high exactness of approximation were fined.