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On a Functional Operation Generating Convex Functions,Part 2: Algebraic Properties
Authors:P Maréchal
Institution:(1) Maître de Conférence, Département de Mathématiques, Université de Montpellier 2, Montpellier, France
Abstract:Algebraic properties of the functional operation introduced in Part 1 of this paper (Ref. 1) are considered. In essence, the functional operation is shown to be associative, right distributive with respect to addition, and left distributive with respect to epigraphic sum.
Keywords:Convexity  Fenchel conjugacy  multiplicative potential functions
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