Markov interlacing property for perfect splines

DOI10.1006/jath.1999.3321zbMath0935.41010OpenAlexW2087869793MaRDI QIDQ1806143

Borislav D. Bojanov

Publication date: 20 December 1999

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

Full work available at URL: https://doi.org/10.1006/jath.1999.3321

zbMATH Keywords

Chebyshev systemperfect splinesinterlacing property

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Spline approximation (41A15)

Related Items (4)

An extremal property of Hermite polynomials. ⋮ Sharp estimates for the zeros of the derivative of oscillating polynomials with Laguerre weight ⋮ Markov interlacing property for exponential polynomials ⋮ Interlacing property for B-splines

Cites Work

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• The optimal recovery of smooth functions
• Some extremal properties of perfect splines and the pointwise Landau problem on the finite interval
• Error bounds for Lagrange interpolation
• Interpolation Properties of Generalized Perfect Splines and the Solutions of Certain Extremal Problems. I
• A remark concerning perfect splines
• Some variational problems on certain Sobolev spaces and perfect splines
• A Refinement of an Inequality of the Brothers Markoff
• On Polya Frequency Function. III. The Positivity of Translation Determinants With an Application to the Interpolation Problem by Spline Curves

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