We prove generalizations of Jensen’s integral inequality for proper convex functions defined on a finite- or infinite-dimensional convex set in a locally convex topological vector space.
Jensen's integral inequality in locally convex spaces / L. Vesely. - In: ANNALS. SERIES ON SCIENCE OF MATHEMATICS. - ISSN 2066-5997. - 9:2(2017), pp. 136-144.
Jensen's integral inequality in locally convex spaces
L. Vesely
2017
Abstract
We prove generalizations of Jensen’s integral inequality for proper convex functions defined on a finite- or infinite-dimensional convex set in a locally convex topological vector space.
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