By establishing an identity for \(S_{n}(x):=\sum_{j=0}^{n}|j / n-x|\left({ }_{j}^{n}\right) x^{j}(1-x)^{n-j}\), the present paper shows that a pointwise asymptotic estimate cannot hold for \(S_{n}(x)\), and, at the same time, obtains a better result than that in Bojanic and Cheng [3]. 1993 Academic
A Note on Derivatives of Bernstein Polynomials
β Scribed by D.X. Zhou
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 92 KB
- Volume
- 78
- Category
- Article
- ISSN
- 0021-9045
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