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Analysis in Theory and Applications

, Volume 27, Issue 3, pp 239–250 | Cite as

Weighted approximation of r-monotone functions on the real line by Bernstein operators

  • Laiyi ZhuEmail author
  • Xiaojie Zhu
  • Xing Liu
Article
  • 24 Downloads

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.

Key words

Freud weight r-monotone function Bernstein-type operator 

AMS (2010) subject classification

41A10 41A25 41A36 

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Copyright information

© Editorial Board of Analysis in Theory and Applications and Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.Renmin University of ChinaBeijingChina
  2. 2.Peking UniversityBeijingChina
  3. 3.School of InformationRenmin University of ChinaBeijingP. R. China
  4. 4.School of mathematicalPeking UniversityBeijingP. R. China

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