A note on the differentiability of conjugate functions |
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Authors: | Thomas Strömberg |
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Institution: | 1. Department of Mathematics, Lule? University of Technology, 971-87, Lule?, Sweden
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Abstract: | For a proper, lower semicontinuous and convex function f with Legendre–Fenchel conjugate f
*, it is well-known that differentiability properties of f
* are equivalent to strict convexity properties of f. In this note a result of this kind is obtained without a convexity assumption on f. |
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Keywords: | |
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