A Note on Approximation by Bernstein Pol
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T.F. Xie; S.P. Zhou
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Article
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1993
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Elsevier Science
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English
โ 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