We solve the Landau–Kolmogorov problem for a class of functions absolutely monotone on a finite interval. For this class of functions, new exact additive inequalities of the Kolmogorov type are obtained.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, No. 4, pp. 531–548, April, 2011.
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Skorokhodov, D.S. Landau–Kolmogorov problem for a class of functions absolutely monotone on a finite interval. Ukr Math J 63, 617–637 (2011). https://doi.org/10.1007/s11253-011-0529-5
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DOI: https://doi.org/10.1007/s11253-011-0529-5