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

2014/09/20 by M. A. Fariborzi Araghi, Fariborzi Araghi, M. A., F. Foroozanfar +1
Mathematics · #Mathematical functions and polynomials #Mathematical Approximation and Integration #Iterative Methods for Nonlinear Equations

paper · doi:10.82521/ijo.2015.1018955

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)-1on 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)-1for both cases b2-4ac L 0and b2-4ac G 0.

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