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
β¦ LIBER β¦
Uniform approximations of functions and some properties of fractional polynomials
β Scribed by V. D. Koromyslichenko
- Book ID
- 112477892
- Publisher
- Springer
- Year
- 1973
- Tongue
- English
- Weight
- 145 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0041-5995
No coin nor oath required. For personal study only.
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A thorough, self-contained and easily accessible treatment of the theory on the polynomial best approximation of functions with respect to maximum norms. The topics include Chebychev theory, WeierstraΓΕΈ theorems, smoothness of functions, and continuation of functions.