Weighted approximation of functions on the real line by Bernstein polynomials

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• 作者：Della Vecchia ; B. ; Mastroianni ; G. ; Szabados ; J.
• 关键词：Freud weights ; Weighted modulus of smoothness and K-functional ; Bernstein operator
• 刊名：Journal of Approximation Theory
• 出版年：2004
• 期刊代码：71_00219045
• 类别：mt
• 出版时间：April, 2004
• 卷：127
• 期：2
• 页码：223-239
• 文件大小：267 K

摘要

The authors give error estimates, a Voronovskaya-type relation, strong converse results and saturation for the weighted approximation of functions on the real line with Freud weights by Bernstein-type operators.