Abstract
We obtain some new results for convex-downward functions vanishing at infinity.
Similar content being viewed by others
References
A. I. Stepanets, Classification and Approximation of Periodic Functions [in Russian], Naukova Dumka, Kiev (1987).
A. I. Stepanets, “Several statements for convex functions,” Ukr. Mat. Zh., 51, No. 5, 688–702 (1999).
A. I. Stepanets, Methods of Approximation Theory [in Russian], Vol. 2, Institute of Mathematics, Ukrainian National Academy of Sciences, Kiev (2002).
S. Yu. Tikhonov, “On the equivalence of some conditions for convex functions,” Ukr. Mat. Zh., 57, No. 3, 427–431 (2005).
Author information
Authors and Affiliations
Additional information
__________
Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, No. 7, pp. 920–938, July, 2007.
Rights and permissions
About this article
Cite this article
Stepanets’, O.I., Shydlich, A.L. On some properties of convex functions. Ukr Math J 59, 1019–1039 (2007). https://doi.org/10.1007/s11253-007-0067-3
Received:
Issue Date:
DOI: https://doi.org/10.1007/s11253-007-0067-3