On the dependence of the norm of a multiply monotone function on the norms of its derivatives

DOI10.1007/S11253-018-1547-3zbMath1416.41012OpenAlexW2902431635MaRDI QIDQ2417347

A. R. Bondarenko, Oleg V. Kovalenko

Publication date: 12 June 2019

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

Full work available at URL: https://doi.org/10.1007/s11253-018-1547-3

zbMATH Keywords

derivatives of multiply monotone functionsKolmogorov problem on multiply monotone functionsMultiply monotone functions

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) Best constants in approximation theory (41A44)

Cites Work

• Unnamed Item
• Kolmogorov's problem on the class of multiply monotone functions
• On the Kolmogorov problem for the upper bounds of four consecutive derivatives of a multiply monotone function
• Kolmogorov problem on the class of multiply monotone functions

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