Best φ-approximation by n-convex functions

DOI10.1080/01630569908816922zbMath0970.41012OpenAlexW1966199250MaRDI QIDQ4705848

Miguel Marano

Publication date: 7 February 2000

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569908816922

zbMATH Keywords

\(n\)-convex functions\(\varphi\)-approximationsplines and extended splines

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Convexity of real functions in one variable, generalizations (26A51) Approximation by other special function classes (41A30)

Related Items (1)

UNIQUENESS OF BEST φ–APPROXIMATION BY 3-CONVEX FUNCTIONS

Cites Work

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• Best \(L_ 1\)-approximation
• Best \(L_ 1\)-approximation by generalized convex functions
• \(L_ p\)-approximation from nonconvex subsets of special classes of functions
• Dual cones, constrained \(n\)-convex, \(L_ p\)-approximation, and perfect splines
• Constrained \(L_ p\)-approximation by generalized \(n\)-convex functions induced by ECT-systems
• Structure of best radial monotone \(\Phi\)-approximants
• A criterion for \(n\)-convexity
• Approximation inL_p[0,1 byn-convex functions]
• Moment Theory for Weak Chebyshev Systems with Applications to Monosplines, Quadrature Formulae and Best One-Sided $L^1 $-Approximation by Spline Functions with Fixed Knots

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