ЧЕБИШОВСЬКЕ НАБЛИЖЕННЯ ФУНКЦІЇ БАГАТЬОХ ЗМІННИХ З ВІДТВОРЕННЯМ ЗНАЧЕНЬ ФУНКЦІЇ ТА ЇЇ ЧАСТИННИХ ПОХІДНИХ.
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| Title: | ЧЕБИШОВСЬКЕ НАБЛИЖЕННЯ ФУНКЦІЇ БАГАТЬОХ ЗМІННИХ З ВІДТВОРЕННЯМ ЗНАЧЕНЬ ФУНКЦІЇ ТА ЇЇ ЧАСТИННИХ ПОХІДНИХ. (Ukrainian) |
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| Alternate Title: | CHEBYSHEV APPROXIMATION OF MULTIVARIABLE FUNCTIONS WITH REPRODUCTION OF THE VALUES OF THE FUNCTION AND ITS PARTIAL DERIVATIVES. (English) |
| Authors: | МАЛАЧІВСЬКИЙ, П. С., МЕЛЬНИЧОК, Л. С., ПІЗЮР, Я. В. |
| Source: | Cybernetics & Systems Analysis / Kibernetiki i Sistemnyj Analiz; 2023, Issue 4, p169-180, 12p |
| Abstract: | A method for constructing the Chebyshev approximation of a discrete multivariable function with reproduction of function’s values and partial derivatives at given points is proposed. The idea of the method is based on the construction of the boundary mean-power approximation with the appropriate interpolation conditions. An iterative scheme based on the least squares method with a variable weight function is used to construct the mean-power approximation. The results of the approximation of the function of one variable confirm the fulfillment of the characteristic property of the Chebyshev approximation with the reproduction of the values of the function and the values of its derivatives at the given points. The test examples confirm the fast convergence of the proposed method. [ABSTRACT FROM AUTHOR] |
| Copyright of Cybernetics & Systems Analysis / Kibernetiki i Sistemnyj Analiz is the property of V.M. Glushkov Institute of Cybernetics of NAS of Ukraine and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Complementary Index |
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