Inequalities for derivatives of functions on an axis with nonsymmetrically bounded higher derivatives

DOI10.1007/s11253-012-0674-5zbMath1258.41005OpenAlexW1991507980MaRDI QIDQ1933270

V. A. Kofanov

Publication date: 23 January 2013

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

Full work available at URL: https://doi.org/10.1007/s11253-012-0674-5

zbMATH Keywords

Babenko inequalityuniform nonsymmetric norms

Mathematics Subject Classification ID

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

Related Items (5)

Reduction of the Kolmogorov inequality for a non negative part of the second derivative on the real line to the inequality for convex functions on an interval ⋮ Bojanov-Naidenov problem for differentiable functions and the Erdős problem for polynomials and splines ⋮ The sharp Landau-Kolmogorov inequality for the set \(\| y^\prime \|_2, \| y \|_1, \| y_+^{\prime \prime} \|_\infty\) on the real line ⋮ The Bojanov-Naidenov problem for functions with asymmetric restrictions for the higher derivative ⋮ On modulus of continuity of differentiation operator on weighted Sobolev classes

Cites Work

• Sharp upper bounds of norms of functions and their derivatives on classes of functions with given comparison function
• Variations on the Chebyshev and \(L^ q\) theories of best approximation
• Inequalities for upper bounds of functionals
• An extension of the Landau-Kolmogorov inequality. Solution of a problem of Erdős
• Comparison of Exact Constants in Inequalities for Derivatives of Functions Defined on the Real Axis and a Circle
• A new proof and a generalization of an inequality of Bohr
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