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The Chebyshev Approximation by the Logarithm of a Rational Expression

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Publicado en:Cybernetics and Systems Analysis vol. 61, no. 1 (Jan 2025), p. 77
Autor principal: Malachivskyy, P. S.
Otros Autores: Melnychok, L. S.
Publicado:
Springer Nature B.V.
Materias:
Chebyshev approximation
Logarithms
Weighting functions
Least squares method
Approximation
Acceso en línea:Citation/Abstract
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Resumen:The authors propose a method for constructing the Chebyshev approximation with an absolute error by the logarithm of a rational expression. It intends to build the intermediate Chebyshev approximation with a relative error of the exponent of the approximated function by a rational expression. The approximation by the rational expression is calculated as the boundary of mean-power approximation using an iterative scheme based on the least squares method with two variable weight functions. The results of solving the test examples confirm the fast convergence of the method.
ISSN:1060-0396
1573-8337
0011-4235
DOI:10.1007/s10559-025-00745-3
Fuente:ABI/INFORM Global