The Kolmogorov and Stechkin problems for classes of functions whose second derivative belongs to the Orlicz space

DOI10.1134/S000143461201018XzbMath1287.46023OpenAlexW1992243091MaRDI QIDQ2435926

Yu. V. Babenko, Dmytro S. Skorokhodov

Publication date: 21 February 2014

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s000143461201018x

zbMATH Keywords

modulus of continuityOrlicz spaceBanach spaceLuxemburg normStechkin problemKolmogorov problem for three numbersoperator of differentiation

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Approximation by operators (in particular, by integral operators) (41A35)

Related Items (1)

On the Landau-Kolmogorov inequality between $\| f' \|_{\infty}$, $\| f \|_{\infty}$ and $\| f \|_1$

Cites Work

• Some extremal properties of perfect splines and the pointwise Landau problem on the finite interval
• Norm inequalities for derivatives and differences
• Best approximation of linear operators
• Approximation of unbounded operators by bounded operators and related extremal problems
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