Best local approximation and generalized convexity

DOI10.1016/0021-9045(85)90059-0zbMath0638.41021OpenAlexW1997596807MaRDI QIDQ1099344

Eitan Lapidot

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0021-9045(85)90059-0

zbMATH Keywords

convexityT-systembest local approximationsbest uniform approximationssign-monotone norms

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50)

Cites Work

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• On complete Tchebycheff-systems
• Determining sets and best \(L_ 1-\)approximation
• Interpolation and best \(L_ p \)local approximation
• On generalized mid-point convexity
• Characterization of generalized convex functions by best \(L^2\)- approximations
• Best local approximation
• Best \(L_2\) local approximation
• Characterization of generalized convex functions by their best approximation in sign-monotone norms
• A necessary condition for best approximation in monotone and sign- monotone norms
• Functions with strictly decreasing distances from increasing Tchebycheff subspaces

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