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Copositive polynomial and spline approximation

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Publication:1890564
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DOI10.1006/JATH.1995.1015zbMath0837.41007OpenAlexW2061939717MaRDI QIDQ1890564

Yingkang Hu, Xiang Ming Yu, Dany Leviatan

Publication date: 13 May 1996

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

Full work available at URL: https://doi.org/10.1006/jath.1995.1015


zbMATH Keywords

\(B\)-splinesdegree of copositive approximationSchoenberg-Bernstein- operatorsvariation diminishing operators


Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Spline approximation (41A15)


Related Items (6)

Positive and copositive spline approximation in \(L_ p[0,1\)] ⋮ Oscillation-diminishing polynomial approximation in C\(^0_w\) and \(L_p(\mathbb R,d \mu), 1 \leq p < \infty\) ⋮ Copositive pointwise approximation ⋮ Weak copositive and interwining approximation ⋮ On equivalence of moduli of smoothness ⋮ On equivalence of moduli of smoothness of polynomials in \(L_p\), \(0 < p \leqslant \infty\)







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