Best \(L_ 1\)-approximation by generalized convex functions

DOI10.1016/0021-9045(89)90164-0zbMath0699.41019OpenAlexW2094352172MaRDI QIDQ913167

D. Zwick

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-9045(89)90164-0

zbMATH Keywords

best \(L_ 1\)-approximationsECT-systemextremal Chebyshevian splines

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Spline approximation (41A15) Approximation by other special function classes (41A30)

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Cites Work

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• Approximation in the mean by convex functions
• Characterizing Shape Preserving L 1 -Approximation
• 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
• Extremal positive splines with applications to interpolation and approximation by generalized convex functions