Several statements for convex functions
For the setM of convex-downward functions Ψ (•) vanishing at infinity, we present its decomposition into subsets with respect to the behavior of special characteristics η (Ψ;•) and μ(Ψ;•) of these functions. We study geometric and analytic properties of the elements of the subsets obtained, which are necessary for the investigation of problems of the theory of approximation for classes of convolutions.
English version (Springer): Ukrainian Mathematical Journal 51 (1999), no. 5, pp 764-780.
Citation Example: Stepanets O. I. Several statements for convex functions // Ukr. Mat. Zh. - 1999. - 51, № 5. - pp. 688–702.