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On the Equivalence of Some Conditions for Convex Functions

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Abstract

We study classes of convex functions on (1, ∞] that tend to zero at infinity. Relations between different elements of these classes are determined.

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Translated from Ukrains'kyi Matematychnyi Zhurnal, Vol. 57, No. 3, pp. 427–431, March, 2005.

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Tikhonov, S.Y. On the Equivalence of Some Conditions for Convex Functions. Ukr Math J 57, 517–522 (2005). https://doi.org/10.1007/s11253-005-0207-6

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  • DOI: https://doi.org/10.1007/s11253-005-0207-6

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