Examples of Landau--Kolmogorov inequality in integral norms on a finite interval

DOI10.1006/jath.2002.3687zbMath1019.41009OpenAlexW2089759889MaRDI QIDQ1867490

Nikola Naidenov, Borislav D. Bojanov

Publication date: 2 April 2003

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

Full work available at URL: https://doi.org/10.1006/jath.2002.3687

zbMATH Keywords

Landau-Kolmogorov problemChebyshev perfect splinesEuler perfect spline

Mathematics Subject Classification ID

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

Related Items (6)

The Landau-Kolmogorov problem on a finite interval in the Taikov case ⋮ On inequalities for the norms of intermediate derivatives of multiply monotone functions defined on a finite segment ⋮ Landau-type extremal problem for the triple \(\| f\| _{\infty},\| f'\| _{p},\| f\| _{\infty}\) on a finite interval. ⋮ Autour d'un probl\`eme extr\'emal \'etudi\'e par Edmund Landau ⋮ Landau-Kolmogorov problem for a class of functions absolutely monotone on a finite interval ⋮ On the Landau-Kolmogorov inequality between $\| f' \|_{\infty}$, $\| f \|_{\infty}$ and $\| f' \|_1$

Cites Work

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• The Landau inequality for bounded intervals with \(\| f^ 3\|\) finite
• Some extremal properties of perfect splines and the pointwise Landau problem on the finite interval
• Landau-type extremal problem for the triple \(\| f\| _{\infty},\| f'\| _{p},\| f\| _{\infty}\) on a finite interval.
• Norm inequalities for derivatives and differences
• An extension of the Landau-Kolmogorov inequality. Solution of a problem of Erdős
• A Note on Landau's Problem for Bounded Intervals
• Exact Markov-type inequalities for oscillating perfect splines

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