Best approximation by periodic smooth functions (with an appendix by D. Davydov)

DOI10.1006/jath.1997.3098zbMath0889.41016OpenAlexW2016015432MaRDI QIDQ1379574

J. A. Oram

Publication date: 24 March 1998

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

Full work available at URL: https://doi.org/10.1006/jath.1997.3098

zbMATH Keywords

smooth functionsperiodic splinesbest uniform approximationsknots of splineszeros of splines

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation by operators (in particular, by integral operators) (41A35) Spline approximation (41A15) Approximation by other special function classes (41A30)

Related Items (2)

Uniform approximation by perfect splines ⋮ Best approximation by smooth functions in the nonperiodic case

Cites Work

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• Restricted approximation by strongly sign-regular kernels: The finite bang-bang principle
• Finite rank approximations to integral operators which satisfy certain total positivity conditions
• Best approximation and cyclic variation diminishing kernels
• Complexity of approximation problems
• On the Zeros of Certain Functions which have a Piecewise Alternately Convex and Concave p th Derivative

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