The Landau inequality for bounded intervals with \(\| f^ 3\|\) finite

DOI10.1016/0021-9045(82)90089-2zbMath0494.41009OpenAlexW2021048791MaRDI QIDQ1169111

Masae Sato

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0021-9045(82)90089-2

zbMATH Keywords

Landau inequalitybounded intervals

Mathematics Subject Classification ID

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

Related Items (9)

The Landau-Kolmogorov problem on a finite interval in the Taikov case ⋮ Letter to the Editor about A. I. Zvyagintsev's paper ``Extremal problem on the norm of an intermediate derivative ⋮ The Landau-Kolmogorov inequality revisited ⋮ 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 ⋮ Some best constants in the Landau inequality on a finite interval ⋮ 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 $\| f' \|_1$ ⋮ Examples of Landau--Kolmogorov inequality in integral norms on a finite interval

Cites Work

• Unnamed Item
• Some extremal properties of perfect splines and the pointwise Landau problem on the finite interval
• A simple proof of the Chui-Smith theorem on Landau's problem
• A Note on Landau's Problem for Bounded Intervals
• An Elementary Proof of Kolmogorov's Theorem

This page was built for publication: The Landau inequality for bounded intervals with \(\| f^ 3\|\) finite