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Polynomials of best uniform approximation to certain rational functions

✍ Scribed by T. J. Rivlin


Publisher
Springer-Verlag
Year
1962
Tongue
English
Weight
188 KB
Volume
4
Category
Article
ISSN
0029-599X

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Best uniform polynomial approximation of
✍ Mehdi Dehghan; M.R. Eslahchi πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 637 KB

In this research paper using the Chebyshev expansion, we explicitly determine the best uniform polynomial approximation out of P qn (the space of polynomials of degree at most qn) to a class of rational functions of the form 1/(T q (a) Β± T q (x)) on [-1, 1], where T q (x) is the first kind of Chebys