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Journal of Automation and Information Sciences
SJR: 0.232 SNIP: 0.464 CiteScore™: 0.27

ISSN 印刷: 1064-2315
ISSN オンライン: 2163-9337

巻:
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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v44.i3.40
pages 45-56

3D Fourier Coefficients on the Class of Differentiable Functions and Spline Interflatation

Oleg N. Lytvyn
Ukrainian Engineering and Pedagogical Academy, Kharkov
Olesya P. Nechuiviter
Ukrainian Engineering and Pedagogical Academy, Kharkov

要約

We considered and investigated cubature formulae for determination of the 3D Fourier coefficients with usage of interflatation on the class of differentiable functions. Information about function is specified by its traces on a system of mutually perpendicular planes. It was proved, that estimate of error of cubature formulae can be expressed by certain estimates of errors of quadrature formulae.

参考

  1. Lytvyn O.N., Functions interlination and some its applications.

  2. Lytvyn O.N., Udovichenko V.M., Operators of finite three-dimensional Fourier transform.

  3. Lytvyn O.N., Udovichenko V.M., Operators of finite three-dimensional discrete-continuous Fourier transform on the basis of the Failon method and three-linear splines, exact on trigonometric polynomials of given order.

  4. Lytvyn O.N., Udovichenko V.M., Three-dimensional finite Fourier and Hurtley transforms with usage of functions interflatation.

  5. Lytvyn O.N., Pershina Yu.I., Lytvyn O.O., Kulyk S.I., Shumeyko N.A., New method of restoration of internal structure 3D bodies by means of projections, which arrive from a computer tomograph.


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