Pointwise estimates for 3-monotone approximation

DOI10.1016/j.jat.2012.06.002zbMath1257.41005arXiv1011.3478OpenAlexW2059779061MaRDI QIDQ714885

Andriy Prymak, Dany Leviatan, Andriy V. Bondarenko

Publication date: 11 October 2012

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.3478

zbMATH Keywords

shape-preserving approximation3-monotone approximation by piecewise polynomials and splines3-monotone polynomial approximationdegree of pointwise approximation

Mathematics Subject Classification ID

Spline approximation (41A15)

Cites Work

• Three-monotone spline approximation
• On a counterexample in monotone approximation
• The degree of monotone approximation
• Nearly comonotone approximation
• Pointwise and uniform estimates for convex approximation of functions by algebraic polynomials
• On 3-monotone approximation by piecewise polynomials
• Orders of coapproximation of functions by algebraic polynomials
• Negative result in pointwise 3-convex polynomial approximation
• Uniform and Pointwise Shape Preserving Approximation by Algebraic Polynomials
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