Quantitative results on almost convergence of a sequence of positive linear operators
โ Scribed by R.N Mohapatra
- Publisher
- Elsevier Science
- Year
- 1977
- Tongue
- English
- Weight
- 487 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
This paper deals with a negative result concerning a pointwise comparison of two quite general sequences of linear operators on the space of continuous functions on the torus or a segment 1997 Academic Press Let E be the torus or a nongenerate segment of R. + denotes the Lebesque measure on E and &
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