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

DOI10.1007/s10496-011-0239-8zbMath1265.41015OpenAlexW1990062103MaRDI QIDQ2916312

Xing Liu, XiaoJie Zhu, Lai-Yi Zhu

Publication date: 5 October 2012

Published in: Analysis in Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10496-011-0239-8

zbMATH Keywords

Freud weightBernstein-type operator\(r\)-monotone function

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Approximation by positive operators (41A36)

Cites Work

• Weighted approximation of functions on the real line by Bernstein polynomials
• Shape preserving approximation on the real line with exponential weights
• Shape-preserving approximation by polynomials
• Some sharp inequalities for \(n\)-monotone functions
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