A method to obtain the best uniform polynomial approximation for the family of rational function

In this article, by using Chebyshev’s polynomials and Chebyshev’s expansion, we obtain the best uniform polynomial approximation out of P2n to a class of rational functions of the form (ax2+c)-1 on any non symmetric interval [d,e]. Using the obtained approximation, we provide the best uniform polyno...

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Bibliographic Details
Published in:Iranian journal of optimization 2015-01, Vol.7 (1), p.753-766
Main Authors: M. A. Fariborzi Araghi, F. Froozanfar
Format: Article
Language:English
Subjects:
alternating set
Chebyshev’s expansion
Chebyshev’s polynomials
the best uniform polynomial approximation
uniform norm
Online Access:Get full text
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Summary:In this article, by using Chebyshev’s polynomials and Chebyshev’s expansion, we obtain the best uniform polynomial approximation out of P2n to a class of rational functions of the form (ax2+c)-1 on any non symmetric interval [d,e]. Using the obtained approximation, we provide the best uniform polynomial approximation to a class of rational functions of the form (ax2+bx+c)-1 for both cases b2-4ac L 0 and b2-4ac G 0.
ISSN:2588-5723
2008-5427