Local approximation by a variant of Bernstein–Durrmeyer operators
✍ Scribed by Ulrich Abel; Vijay Gupta; Ram N. Mohapatra
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 261 KB
- Volume
- 68
- Category
- Article
- ISSN
- 0362-546X
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
The connection between the approximation property and certain classes of locally convex spaces associated with the ideal B) of approximable operators will be discussed. It mill be shown that a FRECHET MOXTEL space has the approximation property iff it is a mixed @-space, or equivalently, iff its str