Weighted polynomial approximation
โ Scribed by H.N. Mhaskar
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 655 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0021-9045
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๐ SIMILAR VOLUMES
We study polynomial approximation on the whole real line with weight \(w=e^{-Q}\), where \(Q\) has polynomial growth at infinity. The following are the main problems considered: asymptotics for the Markov factors and for the rate of best approximation of \(|x|\), Jackson-type estimates for the degre
It is shown that if weighted polynomials w n P n with deg P n n converge uniformly on the support of the extremal measure associated with w, then they converge to 0 everywhere else. It is also shown that uniform approximation on the support can always be characterized by a closed subset Z having the
We obtain discrepancy theorems for the distribution of the zeros of extremal polynomials arising in the theory of weighted polynomial approximation on the whole real axis.