Shape-preserving approximation in \(L_ p\)

DOI10.1007/BF01208557zbMath0830.41007MaRDI QIDQ1900954

Vladimir A. Operstein, Dany Leviatan

Publication date: 29 October 1995

Published in: Constructive Approximation (Search for Journal in Brave)

zbMATH Keywords

degree of monotone approximationpolynomial approximation in \(L_ p\)

Mathematics Subject Classification ID

Approximation with constraints (41A29) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25)

Related Items (2)

The existence of shape-preserving operators with a given action ⋮ Interpolation of cones and shape-preserving approximation

Cites Work

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• Pointwise estimates for monotone polynomial approximation
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• A remark on Sobolev spaces. The case \(0<p<1\)
• Convex polynomial approximation in \(L_ p\) \((0<p<1)\)
• Convex polynomial and spline approximation in \(C[-1,1\)]
• Pointwise and uniform estimates for convex approximation of functions by algebraic polynomials
• A characterization of smoothness in terms of approximation by algebraic polynomials in \(L_ p\)
• Degree of approximation by monotone polynomials. I
• Monotone polynomial approximation inL p space
• Interpolation of Besov Spaces
• Pointwise Estimates for Convex Polynomial Approximation

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