Title of article
A method to obtain the best uniform polynomial approximation for the family of rational function ax bx c 2 1
Author/Authors
Fariborzi Araghi, M. A Department of Mathematics - Islamic Azad university - Central Tehran branch , Froozanfar, F Islamic Azad university - Kermanshah branch
Pages
14
From page
753
To page
766
Abstract
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.
Keywords
Chebyshev’s polynomials , Chebyshev’s expansion , uniform norm , the best uniform polynomial approximation , alternating set
Journal title
Astroparticle Physics
Serial Year
2015
Record number
2436250
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