On the saturation ofL p w -approximation by (0-q′-q) type Hermite-Fejér interpolating polynomials

DOI10.1007/BF02835293zbMath1068.41027OpenAlexW2086296135MaRDI QIDQ4664134

Jiangbo Li, Bao Huai Sheng

Publication date: 5 April 2005

Published in: Analysis in Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02835293

zbMATH Keywords

algebraic polynomialmean convergencesaturation orderMinkowski and Hölder inequalitiesdegree of approximation by \((0 - q' - q)\) type Hermite-Fejér interpolating polynomialsgeneralized/integrable Jacobi weightmean norm approximation

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Trigonometric polynomials, inequalities, extremal problems (42A05)

Cites Work

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• Hermite-Fejér interpolations of higher order. I
• Mean convergence of Hermite-Fejér interpolation
• An analogue of a problem of P. Erdős and E. Feldheim on \(L_ p\) convergence of interpolatory processes
• Saturation problem of \(L^ p\)-approximation by Hermite-Fejér interpolation
• Orders of the mean approximation by the interpolation of (0-\(q'\)-\(q)\) type at disturbed Chebyshev nodes
• Best approximation and \(K\)-functionals
• On mean convergence of Hermite-Fejér interpolation
• Best Weighted Polynomial Approximation via Jacobi Expansions

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