A sequence of mappings connected with Jensen's inequality and applications

S. S. Dragomir; D. M. Milošević

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Maximum convex hulls of connected systems of segments and of polyominoes.

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Delta-convex mappings between Banach spaces and applications

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We investigate delta-convex mappings between normed linear spaces. They provide a generalization of functions which are representable as a difference of two convex functions (labelled as 5-convex or d.c. functions) and are considered in many articles. We show that delta-convex mappings have many good differentiability properties of convex functions and the class of them is very stable. For example, the class of locally delta-convex mappings is closed under superpositions and (in some...

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O. Hadžić (1977)

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k-convexity in several complex variables

Hidetaka Hamada, Gabriela Kohr (2002)

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We define and investigate the notion of k-convexity in the sense of Mejia-Minda for domains in ℂⁿ and also that of k-convex mappings on the Euclidean unit ball.