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On the Bernstein Constants of Polynomial Approximation

โœ Scribed by D.S. Lubinsky

Publisher
Springer
Year
2006
Tongue
English
Weight
447 KB
Volume
25
Category
Article
ISSN
0176-4276

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๐Ÿ“œ SIMILAR VOLUMES

A Note on Approximation by Bernstein Pol
A Note on Approximation by Bernstein Polynomials
โœ T.F. Xie; S.P. Zhou ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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