Chebyshev Approximation by the Sum of the Polynomial and Logarithmic Expression with Hermite Interpolation

Chebyshev Approximation by the Sum of the Polynomial and Logarithmic Expression with Hermite 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 Chebys...

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Veröffentlicht in:Cybernetics and systems analysis 2018-09, Vol.54 (5), p.765-770
Hauptverfasser: Malachivskyy, P. S., Pizyur, Ya. V., Andrunyk, V. A.
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Artificial Intelligence
Chebyshev approximation
Control
Interpolation
Mathematical analysis
Mathematics
Mathematics and Statistics
Polynomials
Processor Architectures
Software Engineering/Programming and Operating Systems
Systems Theory
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Zusammenfassung: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.
ISSN:1060-0396
1573-8337
DOI:10.1007/s10559-018-0078-0