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Best Polynomial Approximations inL2and Widths of Some Classes of Functions

โœ Scribed by S. B. Vakarchuk; A. N. Shchitov


Publisher
Springer
Year
2004
Tongue
English
Weight
138 KB
Volume
56
Category
Article
ISSN
0041-5995

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Best uniform polynomial approximation of
โœ Mehdi Dehghan; M.R. Eslahchi ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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) ยฑ T q (x)) on [-1, 1], where T q (x) is the first kind of Chebys