A note on convergence of linear positive operators
โ Scribed by S.P Singh; O.P Varshney
- Publisher
- Elsevier Science
- Year
- 1983
- Tongue
- English
- Weight
- 115 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0021-9045
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๐ SIMILAR VOLUMES
The degree of approximation in L p -spaces by positive linear operators is estimated in terms of the integral modulus of smoothness. It is shown that the conjectured optimal degree of approximation is not attained in the class of functions having a second derivative belonging to L p .
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