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- W3020823114 abstract "• Why. The phenomenon duality for a proper closed convex function, the possibility to describe it from the outside of its epigraph, by graphs of affine (constant plus linear) functions, has to be investigated. This has to be done for its own sake and as a preparation for the duality theory of convex optimization problems. An illustration of the power of duality is the following task, which is challenging without duality but easy if you use duality: prove the convexity of the main function from geometric programming, (ln (e^{x_1}+cdots +e^{x_n})), a smooth function that approximates the non-smooth function (max (x_1, ldots , x_n))." @default.
- W3020823114 created "2020-05-13" @default.
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- W3020823114 date "2020-01-01" @default.
- W3020823114 modified "2023-09-23" @default.
- W3020823114 title "Convex Functions: Dual Description" @default.
- W3020823114 doi "https://doi.org/10.1007/978-3-030-41804-5_6" @default.
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