Landau-type extremal problem for the triple \(\| f\| _{\infty},\| f'\| _{p},\| f\| _{\infty}\) on a finite interval.

DOI10.1016/S0021-9045(03)00081-9zbMath1035.41008MaRDI QIDQ1404928

Nikola Naidenov

Publication date: 25 August 2003

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

zbMATH Keywords

extremal functionKolmogorov type inequalitiesLandau type extremal problemsparabolic perfect splinezigzag spline

Mathematics Subject Classification ID

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

Related Items (5)

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 ⋮ Autour d'un probl\`eme extr\'emal \'etudi\'e par Edmund Landau ⋮ On the Landau-Kolmogorov inequality between $\| f' \|_{\infty}$, $\| f \|_{\infty}$ and $\| f \|_1$ ⋮ Examples of Landau--Kolmogorov inequality in integral norms on a finite interval

Cites Work

• Some extremal properties of perfect splines and the pointwise Landau problem on the finite interval
• Some best constants in the Landau inequality on a finite interval
• Examples of Landau--Kolmogorov inequality in integral norms on a finite interval
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