On a Functional Operation Generating Convex Functions,Part 2: Algebraic Properties |
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Authors: | P Maréchal |
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Institution: | (1) Maître de Conférence, Département de Mathématiques, Université de Montpellier 2, Montpellier, France |
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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. |
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Keywords: | Convexity Fenchel conjugacy multiplicative potential functions |
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