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Calculation of 3D Fourier Coefficients on the Class of Differentiable Functions

Lytvyn O.1, Nechuiviter O.2
1 Ukrainian Engineering Pedagogics Academy
2 Ukrainian Engineering and Pedagogical Academy

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UDC: 621.391:517.518:510.52
Publication Language: Ukrainian
Stuc. intelekt. 2012; 17(1):37-48

Abstract: In the work, cubature formulas of calculation of 3D Fourier coefficients with using spline-interflatation were submitted. Cubature formulas are presented in the case when information about function is set of flats, set of lines and set of knots on one class of differentiable functions. The estimations of error of approaching of the cubature formulas are presented.

Keywords: 3D Fourier coefficients, cubature formulas, interflatation of functions

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