Open AccessChebyshev approximation of functions of two variables by a rational expression with interpolation
Author(s) -
L. S. Melnychok
Publication year - 2021
Publication title -
fìziko-matematične modelûvannâ ta ìnformacìjnì tehnologìï/fìzìko-matematične modelûvannâ ta ìnformacìjnì tehnologìï
Language(s) - English
Resource type - Journals
eISSN - 2617-5258
pISSN - 1816-1545
DOI - 10.15407/fmmit2021.33.033
Subject(s) - approximation theory , chebyshev filter , mathematics , interpolation (computer graphics) , expression (computer science) , equioscillation theorem , chebyshev nodes , spouge's approximation , chebyshev equation , chebyshev polynomials , minimax approximation algorithm , norm (philosophy) , chebyshev iteration , elliptic rational functions , scheme (mathematics) , mathematical optimization , mathematical analysis , computer science , gegenbauer polynomials , orthogonal polynomials , animation , classical orthogonal polynomials , computer graphics (images) , political science , law , programming language , elliptic curve , quarter period
A method for constructing a Chebyshev approximation by a rational expression with interpolation for functions of two variables is proposed The idea of the method is based on the construction of the ultimate mean-power approximation in the norm of space Lp at p° . An iterative scheme based on the least squares method with two variable weight functions was used to construct such a Chebyshev approximation. The results of test examples confirm the effectiveness of the proposed method for constructing the Chebyshev approximation by a rational expression with interpolation.