Estimates of asymmetric Freud polynomials on the real line
β Scribed by William C Bauldry
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 545 KB
- Volume
- 63
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
π 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
Let ,: (& , ) Γ (0, ) be a given continuous even function and let m be a positive integer. We show that, with some additional restrictions on ,, there exist decreasing sequences x 1 , ..., x m and y 1 , ..., y m&1 of symmetrically located points on (& , ) and corresponding polynomials P and Q of deg
It is shown that the interval where the nodes of a ``good'' interpolation polynomial are situated is strongly connected with the Mhaskar Rahmanov Saff number. 2000 Academic Press \* n (x)=w(x) : n k=0 |l k (x)| w(x k ) ,