Bounds for Lebesgue Functions for Freud Weights
โ Scribed by D.M. Matjila
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 379 KB
- Volume
- 79
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We establish pointwise as well as uniform estimates for Lebesgue functions associated with a large class of Erdo s weights on the real line. An Erdo s weight is of the form W :=exp(&Q), where Q : R ร R is even and is of faster than polynomial growth at infinity. The archetypal examples are where Q
Orthogonal polynomials pn(W2,x) for exponential weights W 2 =e -2Q on a finite or infinite interval I, have been intensively studied in recent years. We discuss efforts of the authors to extend and unify some of the theory; our deepest result is the bound Ip,(m2,x)lm(x)l(x -a\_,)(x-a,,)l TM <~ c, xE