Lebesgue functions corresponding to a family of Lagrange interpolation polynomials

DOI10.3103/S1066369X13070074zbMath1280.41004MaRDI QIDQ384260

I. A. Shakirov

Publication date: 27 November 2013

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

Lebesgue constantsLebesgue functionsgeneralized Dirichlet kernelLagrange interpolation polynomials

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Interpolation in approximation theory (41A05) Approximation by polynomials (41A10)

Related Items (1)

Asymptotic formulas for Lebesgue functions corresponding to the family of Lagrange interpolation polynomials

Cites Work

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• Obstructions to the uniform stability of a \(C_{0}\)-semigroup
• A complete description of the Lebesgue functions for classical Lagrange interpolation polynomials
• Lower bound for the Lebesgue function of an interpolation process with algebraic polynomials on equidistant nodes of a simplex

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