 Cybernetics and Systems Analysis /  Issue (2018, 54 (5))
Malachivskyy P.S.,
Pizyur Y.V.,
Andrunyk V.A.
Chebyshev approximation by the sum of polynomial and logarithmic expression with the Hermitian interpolation The authors establish the condition for the existence of the Chebyshev approximation by the sum of the polynomial and logarithmic expression with the least absolute error and Hermite interpolation at the end points of the interval. The method is proposed for determining the parameters of such Chebyshev approximation. © 2018, Springer Science+Business Media, LLC, part of Springer Nature. Keywords: alternation points, Chebyshev approximation, Hermite interpolation, Remez algorithm, Approximation algorithms, Chebyshev approximation, Interpolation, Absolute error, Alternation points, End points, Hermite interpolation, Remez algorithms, Polynomial approximation
Cite:
Malachivskyy P.S.,
Pizyur Y.V.,
Andrunyk V.A.
(2018). Chebyshev approximation by the sum of polynomial and logarithmic expression with the Hermitian interpolation. Cybernetics and Systems Analysis, 54 (5), 93-99. doi: https://doi.org/10.1007/s10559-018-0078-0 http://jnas.nbuv.gov.ua/article/UJRN-0000897819 [In Ukrainian]. |
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