Approximation inLp[0,1] byn-convex functions

DOI10.1080/01630569008816368zbMath0722.41023OpenAlexW1988654031MaRDI QIDQ3209586

Yuesheng Xu, John J. Swetits, Stanley E. Weinstein

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1080/01630569008816368

zbMATH Keywords

best \(L_ p\) approximation

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation by other special function classes (41A30)

Related Items (3)

Characterizing best isotone approximations in \(L_p\) spaces, \(1 \leq p < \infty\) ⋮ Unnamed Item ⋮ Best φ-approximation by n-convex functions

Cites Work

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• Best approximation by monotone functions
• Best approximation by continuous n-convex functions
• On the characterization and computation of best monotone approximation in \(L_ p[0,1\) for \(1\leq p<\infty\)]
• Some aspects of best n-convex approximations
• \(L_ p\)-approximation from nonconvex subsets of special classes of functions
• Approximation in the mean by convex functions
• Applications of the Hahn-Banach Theorem in Approximation Theory
• Extremal positive splines with applications to interpolation and approximation by generalized convex functions

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