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Journal of Automation and Information Sciences

Publication de 12  numéros par an

ISSN Imprimer: 1064-2315

ISSN En ligne: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

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

Volume 44, Numéro 3, 2012, pp. 45-56
DOI: 10.1615/JAutomatInfScien.v44.i3.40
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RÉSUMÉ

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.

RÉFÉRENCES
  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.

CITÉ PAR
  1. Lytvyn Oleg M., Nechuiviter Olesia, Pershyna Iulia, Mezhuyev Vitaliy, Input Information in the Approximate Calculation of Two-Dimensional Integral from Highly Oscillating Functions (Irregular Case), in Recent Developments in Data Science and Intelligent Analysis of Information, 836, 2019. Crossref

  2. Lytvyn Oleh M., Lytvyn Oleh O., A New Approach to Data Compression, in Recent Developments in Data Science and Intelligent Analysis of Information, 836, 2019. Crossref

  3. Lytvyn Oleg O., Lytvyn Oleg M., Chorna Olena, Kaniuk Hennadii, Mathematical Spatial Minerals Distributing Model by Interlineation Methods of Matrix-functions, 2020 10th International Conference on Advanced Computer Information Technologies (ACIT), 2020. Crossref

  4. Нечуйвітер Олеся Петрівна, APPLICATION OF THE THEORY OF NEW INFORMATION OPERATORS IN CONDUCTING RESEARCH IN THE FIELD OF INFORMATION TECHNOLOGIES, Information Technologies and Learning Tools, 82, 2, 2021. Crossref

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