On the degeneracy property of some linear positive operators
โ Scribed by B. Della Vecchia; L. M. Kocic'
- Book ID
- 110562129
- Publisher
- Springer Milan
- Year
- 1988
- Tongue
- English
- Weight
- 518 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0008-0624
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๐ SIMILAR VOLUMES
In this paper we study some shape preserving properties of particular positive linear operators acting on spaces of continuous functions defined on the interval [0, + [, which are strongly related to the semigroups generated by a large class of degenerate elliptic second order differential operators
We provide sufficient conditions for a sequence of positive linear approximation operators, L n ( f, x), converging to f (x) from above to imply the convexity of f. We show that, for the convolution operators of Feller type, K n ( f, x), generated by a sequence of iid random variables taking values