Pointwise estimates are obtained for simultaneous approximation of a function f and its derivatives by means of an arbitrary sequence of bounded projection operators with some extra condition (1.3) (we do not require the operators to be linear) which map C I -~, ~~ into polynomials of degree n, augm
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Pointwise simultaneous approximation by rational operators
β Scribed by B Della Vecchia; G Mastroianni
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 383 KB
- Volume
- 65
- Category
- Article
- ISSN
- 0021-9045
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## Abstract The present paper introduces a kind of Kantorovich type Shepard operators. Complete results including direct and converse results, equivalence results are established. As Della Vecchia and Mastroianni ([4], [7]) did, our results involve a weighted modulus of smoothness related to stepβf
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