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A note on Bernstein algebras

✍ Scribed by Roberto Costa

Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
545 KB
Volume
112
Category
Article
ISSN
0024-3795

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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