Some aspects of best n-convex approximations

DOI10.1016/0021-9045(89)90130-5zbMath0699.41024OpenAlexW2080070989MaRDI QIDQ913173

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)90130-5

zbMATH Keywords

examplesbest n-convex approximation

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50)

Related Items (2)

Approximation inL_p[0,1 byn-convex functions] ⋮ Best \(L_ p\) approximation with multiple constraints for \(1\leq p<\infty\)

Cites Work

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• Degeneracy in WT-spaces
• Some hereditary properties of WT-systems
• Interlacing properties of the zeros of the error functions in best \(L^p\)- approximations
• Properties of functions generalized convex with respect to a WT-system
• 'Restricted derivatives' approximation to functions with derivatives outside the range
• Monotone approximation
• Alternants for generalized convex functions
• Existence of Best n-Convex Approximations
• Restricted Range Approximation of k-Convex Functions in Monotone Norms
• Another Proof that Convex Functions are Locally Lipschitz
• Monotone Approximation by Algebraic Polynomials

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