The Landau-Kolmogorov problem on a finite interval in the Taikov case
DOI10.1016/j.jat.2022.105771OpenAlexW3182701885WikidataQ114164894 ScholiaQ114164894MaRDI QIDQ2145852
Publication date: 15 June 2022
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.01698
Landau-Kolmogorov problemStechkin problemKolmogorov-type inequalitieshigher-order Sturm-Liouville problem
Sturm-Liouville theory (34B24) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation by operators (in particular, by integral operators) (41A35) Inequalities involving derivatives and differential and integral operators (26D10)
Cites Work
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- The Landau-Kolmogorov inequality revisited
- Sharp constants in V. A. Markov-Bernstein type inequalities of different metrics
- Exact constants in generalized inequalities for intermediate derivatives
- 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
- Some best constants in the Landau inequality on a 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
- Inequalities of Kolmogorov type and estimates of spline interpolation on periodic classes \(W^ m_ 2\)
- Examples of Landau--Kolmogorov inequality in integral norms on a finite interval
- On Hardy-Littlewood-Pólya and Taikov type inequalities for multiple operators in Hilbert spaces
- Uniform approximation of differentiation operators by bounded linear operators in the space \(L_r\)
- Sharp constants in inequalities for intermediate derivatives (the Gabushin case)
- Best approximation of linear operators
- Kolmogorov-type inequalities and best formulas for numerical differentiation
- On the best approximation of the differentiation operator on the half- line
- A Note on Landau's Problem for Bounded Intervals
- On additive inequalities for intermediate derivatives of functions given on a finite interval
- Approximation of unbounded operators by bounded operators and related extremal problems
- On the Landau-Kolmogorov inequality between $\| f' \|_{\infty}$, $\| f \|_{\infty}$ and $\| f' \|_1$
- Concerning Polynomials on the Unit Interval
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