CHEBYSHEV APPROXIMATION MULTIVARIABLE FUNCTIONS BY THE RATIONAL EXPRESSION WITH THE INTERPOLATION

Author:

Malachivskyy P. S., ,Melnychok L. S.,Pizyur Y. V., ,

Abstract

A method for constructing the Chebyshev approximation by the rational expression of the multivariable functions with the interpolation is proposed. The method is based on the construction of the ultimate mean-power approximation by a rational expression with the interpolation condition in the norm of space $L_p$ at $p \to \infty$. To construct such an approximation, an iterative scheme based on the least squares method with two variable weight functions was used.

Publisher

Taras Shevchenko National University of Kyiv

Reference14 articles.

1. 1. Collatz L., Krabs W. Approximationstheorie. Tschebyscheffsche Approximation mit Anwendungen. Teubner. Stuttgart. 1973.

2. 2. Popov B. A., Tesler G. S. Approximation of functions for technical applications. Kyiv: Naukova Dumka. 1980. 352 p.

3. 3. Skopetskii V. V., Malachivskii P. S. Chebyshev approximation of functions by the sum of a polynomial and an expression with a nonlinear parameter and endpoint interpolation. Cybernetics and Systems Analysis. 2009. Vol. 45. Issue 1. P. 58-68. https://doi.org/10.1007/s10559-009-9078-4

4. 4. Verlan A. F., Abdusadarov B. B., Ignatenko A. A., Maksimovich N. A. Methods and tools for interpretations of experimental dependensies under investigation of experimental and control of energetic processes. Kyiv: Naukova Dumka. 1993. 208 p.

5. 5. Malachivskyy P. S., Skopetskii V. V. Continuous and smooth minmax spline-approximation. Kyiv: Naukova Dumka. 2013. 270 p.

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