On Chebyshev-Markov-Krein inequalities

DOI10.1016/J.JAT.2012.06.001zbMath1408.41006OpenAlexW2045165754MaRDI QIDQ714888

José María Quesada, Allan Pinkus

Publication date: 11 October 2012

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

Full work available at URL: https://doi.org/10.1016/j.jat.2012.06.001

zbMATH Keywords

MarkovT-systemsChebyshev\(L^{1}\)-approximationKrein inequalities

Mathematics Subject Classification ID

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

Cites Work

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• Best one-sided \(L_1\) approximation to the Heaviside and sign functions
• The extrema of probability determined by generalized moments. I: Bounded random variables
• On small sumsets in an abelian group
• On transforming a Tchebycheff system into a complete Tchebycheff system
• The ideas of P. L. Čebyšev and A. A. Markov in the theory of limiting values of integrals and their further development
• Moment Theory for Weak Chebyshev Systems with Applications to Monosplines, Quadrature Formulae and Best One-Sided $L^1 $-Approximation by Spline Functions with Fixed Knots
• The General Moment Problem, A Geometric Approach

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