Coconvex polynomial approximation

DOI10.1016/S0021-9045(02)00045-XzbMath1021.41006OpenAlexW2004233367MaRDI QIDQ1874477

I. A. Shevchuk, Dany Leviatan

Publication date: 25 May 2003

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

Full work available at URL: https://doi.org/10.1016/s0021-9045(02)00045-x

zbMATH Keywords

coconvex polynomial approximationJackson estimates

Mathematics Subject Classification ID

Approximation by polynomials (41A10)

Related Items (7)

Comparing the degrees of unconstrained and shape preserving approximation by polynomials ⋮ Interpolatory estimates for convex piecewise polynomial approximation ⋮ Comonotone and coconvex rational interpolation and approximation ⋮ Coconvex approximation of periodic functions ⋮ Stechkin-type estimate for nearly copositive approximations of periodic functions ⋮ On 3-monotone approximation by piecewise polynomials ⋮ Negative results in coconvex approximation of periodic functions

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• The degree of coconvex polynomial approximation
• A counterexample in comonotone approximation in $L^p$ space
• Pointwise Estimates for Convex Polynomial Approximation

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