Kolmogorov-type inequalities for derivatives

DOI10.1070/SM1997v188n12ABEH000274zbMath0911.26009MaRDI QIDQ3839263

Vladimir M. Tikhomirov, Gregorij G. Magaril-Il'yaev

Publication date: 5 November 1998

Published in: Sbornik: Mathematics (Search for Journal in Brave)

zbMATH Keywords

fractional derivativesLagrange multiplier ruleduality methodsHardy-Littlewood-Pólya inequalityKolmogorov-type inequalityGabushin inequalityLyubich-Kuptsov inequalityTalkov inequality

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (11)

Best recovery of the Laplace operator of a function and sharp inequalities ⋮ The Landau-Kolmogorov problem for the Laplace operator on a ball ⋮ Exactness and optimality of methods for recovering functions from their spectrum ⋮ On the reconstruction of convolution-type operators from inaccurate information ⋮ On solvability of third-order operator differential equation with parabolic principal part in weighted space ⋮ On the well-posedness of a boundary value problem for a class of fourth-order operator-differential equations ⋮ Best recovery of the solution of the Dirichlet problem in a half-space from inaccurate data ⋮ On a geometrical construction of the multiplier rule. ⋮ Unnamed Item ⋮ Beurling–Malliavin multiplier theorem: The seventh proof ⋮ Estimates of the norms of derivatives in the one- and multidimensional cases

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