Asymptotic property of approximation to \(x^{\alpha }\text{sgn} \, x\) by Newman type operators

DOI10.1007/s10255-007-7147-xzbMath1202.41002OpenAlexW2001942311MaRDI QIDQ601952

Shu-Sheng Xu, Yue-Hong Zhang, Qian Zhan

Publication date: 29 October 2010

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-007-7147-x

zbMATH Keywords

rational approximationasymptotic propertyNewman type operator

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25) Approximation by other special function classes (41A30)

Cites Work

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• The asymptotic property of approximation to \(\mid x \mid\) by Newman's rational operators
• Improvement of Newman inequality
• On rational interpolation to \(| x|\)
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• Best uniform rational approximation of 𝑥^{𝛼} on [0,1]