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Best approximation by holomorphic functions. Application to the best polynomial approximation of classes of holomorphic functions

✍ Scribed by V. V. Savchuk

Publisher
Springer
Year
2007
Tongue
English
Weight
253 KB
Volume
59
Category
Article
ISSN
0041-5995

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Best uniform polynomial approximation of
Best uniform polynomial approximation of some rational functions
✍ 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