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Weighted polynomial approximation

โœ 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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๐Ÿ“œ SIMILAR VOLUMES


Weighted Polynomial Approximation on the
โœ A. Kroo; J. Szabados ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 635 KB

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

A Note on Weighted Polynomial Approximat
โœ A.B.J. Kuijlaars ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 199 KB

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

Some Discrepancy Theorems in the Theory
โœ H.-P Blatt; H.N Mhaskar ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 208 KB

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.