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A Note on Uniform Approximation by Linear Combinations of Modified Bernstein Polynomials

✍ Scribed by H. S. Kasana


Book ID
125203732
Year
1989
Weight
194 KB
Volume
89A
Category
Article
ISSN
0035-8975

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A Note on Approximation by Bernstein Pol
✍ T.F. Xie; S.P. Zhou πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 161 KB

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