Chebyshev approximation of functions by the sum of a polynomial and an expression with a nonlinear parameter and endpoint interpolation |
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| Authors: | V V Skopetskii P S Malachivskii |
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| Affiliation: | (1) V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine;(2) Center for Mathematical Modeling, Ya. S. Pidstruhach Institute for Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine, L’viv, Ukraine |
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| Abstract: | Sufficient existence conditions are established for the uniform Chebyshev (minimax) approximation of a function by the sum
of a polynomial and an expression with a nonlinear parameter with the minimum absolute error and interpolation at the interval
endpoints. An algorithm for determining the parameters of such an approximation using the Remez algorithm is proposed. The
application of the iterative method to calculating the nonlinear parameter is substantiated.
Translated from Kibernetika i Sistemnyi Analiz, No. 1, pp. 64–75, January–February 2009. |
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| Keywords: | Chebyshev (uniform minimax) approximation with interpolation nonlinear approximation point of alternation Remez algorithm |
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