๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Weighted Polynomial Approximation on the Real Line

โœ Scribed by A. Kroo; J. Szabados


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
635 KB
Volume
83
Category
Article
ISSN
0021-9045

No coin nor oath required. For personal study only.

โœฆ Synopsis


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 degree of best approximation of some classes of functions. 1995 Academic Press. Inc.


๐Ÿ“œ SIMILAR VOLUMES


Polynomial splines on the real line
โœ J.H Ahlberg; E.N Nilson ๐Ÿ“‚ Article ๐Ÿ“… 1970 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 433 KB
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.