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Journal of Function Spaces
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Journal of Function Spaces
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Functions Like Convex Functions

Functions like convex functions
Authors: Zlatko Pavić;

Functions Like Convex Functions

Abstract

The paper deals with convex sets, functions satisfying the global convexity property, and positive linear functionals. Jensen's type inequalities can be obtained by using convex combinations with the common center. Following the idea of the common center, the functional forms of Jensen's inequality are considered in this paper.

Keywords

convex set, Convex sets in topological linear spaces; Choquet theory, Convex sets without dimension restrictions (aspects of convex geometry), unit equality, Convex functions and convex programs in convex geometry, positive linear functional, QA1-939, Jensen's inequality, positive linear functional; unit equality; simplex, simplex, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
gold