Best approximation and cyclic variation diminishing kernels

DOI10.1006/jath.1996.3059zbMath0878.41019OpenAlexW1990453315MaRDI QIDQ1359965

Allan Pinkus, O. V. Davydov

Publication date: 20 November 1997

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

Full work available at URL: https://doi.org/10.1006/jath.1996.3059

zbMATH Keywords

uniquenessquasi-Chebyshev spacesuniform best approximation in spaces of periodic functions

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50)

Related Items

Optimal quadrature problem on classes defined by kernels satisfying certain oscillation properties, Best approximation by periodic smooth functions (with an appendix by D. Davydov)

Cites Work

• Remarks on de la Vallée Poussin means and convex conformal maps of the circle
• Restricted approximation by strongly sign-regular kernels: The finite bang-bang principle
• Best approximations by smooth functions
• Some new characterizations of the Chebyshev polynomials
• On variation diminishing transformations on the circle
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