Best approximation by continuous n-convex functions

DOI10.1016/0021-9045(89)90084-1zbMath0692.41024OpenAlexW2064546655MaRDI QIDQ583531

Aldric L. Brown

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)90084-1

zbMATH Keywords

uniform normcontinuous n-convex functions

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50)

Related Items

Approximation inL_p[0,1 byn-convex functions] ⋮ New integral representations of \(n\)th order convex functions ⋮ Best \(L_ p\) approximation with multiple constraints for \(1\leq p<\infty\)

Cites Work

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• Existence of Best n-Convex Approximations
• On the Zeros of Certain Functions which have a Piecewise Alternately Convex and Concave p th Derivative
• Another Proof that Convex Functions are Locally Lipschitz
• Extremal positive splines with applications to interpolation and approximation by generalized convex functions