Chebyshev approximation of functions of two variables by a rational expression with interpolation | Zendy

L. S. Melnychok | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Chebyshev approximation of functions of two variables by a rational expression with interpolation

Author(s) -

L. S. Melnychok

Publication year - 2021

Publication title -

physico-mathematical modelling and informational technologies

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.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research