✦ LIBER ✦
Best Constants in Preservation Inequalities Concerning the First Modulus and Lipschitz Classes for Bernstein-Type Operators
✍ Scribed by José A Adell; Ana Pérez-Palomares
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 206 KB
- Volume
- 93
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
✦ Synopsis
We consider families (L t , t # T) of positive linear operators such that each L t is representable in terms of a stochastic process starting at the origin and having nondecreasing paths and integrable stationary increments. For these families, we give probabilistic characterizations of the best possible constants both in preservation inequalities concerning the first modulus and in preservation of Lipschitz classes of first order. As an application, we compute such constants for the Bernstein, Sza sz, Gamma, Baskakov, and Beta operators.