\(L_ p\) approximation by subsets of convex functions of several variables

DOI10.1016/0021-9045(90)90099-CzbMath0767.41025OpenAlexW2006845761MaRDI QIDQ1813614

Vasant A. Ubhaya

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1016/0021-9045(90)90099-c

zbMATH Keywords

convex functions\(L_ p\) approximation

Mathematics Subject Classification ID

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

Related Items (2)

Characterizing best isotone approximations in \(L_p\) spaces, \(1 \leq p < \infty\) ⋮ \(L_ p\) approximation by quasi-convex and convex functions

Cites Work

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• Lipschitzian selections in best approximation by continuous functions
• Uniform approximation by quasi-convex and convex functions
• \(L_ p\) approximation by quasi-convex and convex functions
• Existence of best approximations
• Isotonic approximation in \(L_ s\).
• \(L_p\) convergence of monotone functions and their uniform convergence
• \(L_ p\)-approximation from nonconvex subsets of special classes of functions
• Arcwise Convex Sets

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