The best uniform polynomial approximation of two classes of rational functions

Author(s):

M. R. Eslahchi , Sanaz Amani

Message:
Abstract:
In this paper we obtain the explicit form of the best uniform polynomial approximations out of Pn of two classes of rational functions using properties of Chebyshev polynomials. In this way we present some new theorems and lemmas. Some examples will be given to support the results.
Keywords:

Best polynomial approximation , Alternating set , Shifted Chebyshev polynomials , Uniform norm

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:7 Issue: 2, Nov 2012
Page:
85
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