Weighted Approximation of $r$-Monotone Functions on the Real Line by Bernstein Operators

Laiyi Zhu, Xiaojie Zhu & Xing Liu

doi:10.1007/s10496-011-0239-8

Weighted Approximation of $r$-Monotone Functions on the Real Line by Bernstein Operators

Authors

Laiyi Zhu, Xiaojie Zhu & Xing Liu

DOI:

https://doi.org/10.1007/s10496-011-0239-8

Keywords:

Freud weight, $r$-monotone function, Bernstein-type operator.

Abstract

In this paper, we give error estimates for the weighted approximation of $r$-monotone functions on the real line with Freud weights by Bernstein-type operators.

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Published

2011-08-01

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Issue

Vol. 27 No. 3 (2011)

Section

Articles

How to Cite

Weighted Approximation of $r$-Monotone Functions on the Real Line by Bernstein Operators. (2011). Analysis in Theory and Applications, 27(3), 239-250. https://doi.org/10.1007/s10496-011-0239-8