O.M. Lytvyn and O.P. Nechuyviter (Ukraine)
Interlineation (the blending-function interpolation), spline-interpolation, spline-interlineation, quadrature formula, cubature formula, two dimensions of Fourier’s coefficients, highly oscillatory integrals
The paper is devoted to optimal in order of exactness formulas of the evaluating of two dimensions of Fourier’s coefficients with using spline-interlineation. The main advantages of methods are high exactness of approximation, less amount of information about function during the calculation of Fourier’s coefficients. Тhe new method of optimal in order of exactness formulas of the evaluating of two dimensions of Fourier’s coefficients with using operators of spline interlineation on the lines of rectangulation were got.
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