On a Functional Operation Generating Convex Functions, Part 2: Algebraic Properties

P. Maréchal
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P. Maréchal: Université de Montpellier 2

Journal of Optimization Theory and Applications, 2005, vol. 126, issue 2, No 8, 357-366

Abstract: 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 (search for similar items in EconPapers)
Date: 2005
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DOI: 10.1007/s10957-005-4721-3

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