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Exact constants in generalized inequalities for intermediate derivatives

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Publication:1033983
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DOI10.1134/S0001434609050101zbMath1180.41009MaRDI QIDQ1033983

A. A. Lunev, Leonid L. Oridoroga

Publication date: 10 November 2009

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


zbMATH Keywords

Sobolev spaceintermediate derivativesKolmogorov-type inequalities


Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)


Related Items (3)

The Landau-Kolmogorov problem on a finite interval in the Taikov case ⋮ Recovery of derivatives for functions defined on the semiaxis ⋮ On Hardy-Littlewood-Pólya and Taikov type inequalities for multiple operators in Hilbert spaces




Cites Work

  • Best constants in Kolmogorov inequalities for the Sobolev space \(W^{n}_{2}(\mathbb R_+)\)
  • The best extension operators for Sobolev spaces on the half-line
  • Sharp constants in inequalities for intermediate derivatives (the Gabushin case)




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