The Complete Asymptotic Expansion for Bernstein–Durrmeyer Operators with Jacobi Weights
✍ Scribed by Ulrich Abel; Margareta Heilmann
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2004
- Tongue
- English
- Weight
- 191 KB
- Volume
- 1
- Category
- Article
- ISSN
- 1660-5446
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
We give a generalisation of the multivariate beta integral. This is used to show that the (multivariate) Bernstein-Durrmeyer operator for a Jacobi weight has a limit as the weight becomes singular. The limit is an operator previously studied by Goodman and Sharma. From the elementary proof given, it
We present the complete asymptotic expansion for the Meyer-Konig and Zeller Ž Ž . . yk Ž . operators M f t ; x as n tends to infinity. All coefficients of n ks1, 2, . . . n are calculated explicitly in terms of Stirling numbers of the first and second kind.