Lp Markov-Bernstein inequalities for Erdős weights
✍ Scribed by D.S Lubinsky; T.Z Mthembu
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 721 KB
- Volume
- 65
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Let \(W:=e^{-Q}\) where \(Q\) is even, sufficiently smooth, and of faster than polynomial growth at infinity. Such a function \(W\) is often called an Erdös weight. In this paper we prove Nikolskii inequalities for Erdös weights. We also motivate the usefulness of, and prove a Bernstein inequality o
The principal result of this paper is the following Markov-type inequality for Mu ntz polynomials. Theorem (Newman's Inequality in L p [a, b] for [a, b]/(0, )). Let 4 := (\\* j ) j=0 be an increasing sequence of nonnegative real numbers. Suppose \\* 0 =0 and there exists a $>0 so that \\* j $j for e