Degree of simultaneous coconvex polynomial approximation

DOI10.1007/BF03322045zbMath0926.41014MaRDI QIDQ1266943

Dany Leviatan, Kirill A. Kopotun

Publication date: 13 October 1998

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

simultaneous approximationJackson-type estimatescoconvex polynomial approximationDitzian-Totik modules of smoothness

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation with constraints (41A29) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25)

Related Items (1)

Shape-preserving approximation by polynomials

Cites Work

• Comonotone polynomial approximation in \(L_p[-1,1, 0<p\leq\infty\)]
• Pointwise and uniform estimates for convex approximation of functions by algebraic polynomials
• Coconvex polynomial approximation of twice differentiable functions
• On Comonotone Approximation
• The degree of coconvex polynomial approximation
• ON COMONOTONE APPROXIMATION BY POLYNOMIALS IN Lp SPACE

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