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An Unsolved Problem of Fenchel |
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| Authors: | T. Rapcsák |
| Affiliation: | (1) Computer and Automation Institute, Hungarian Academy of Sciences, Budapest, Hungary |
| Abstract: | The Fenchel problem of level sets is solved under the conditions that theboundaries of the nested family of convex sets in Rn>+1 aregiven by C3 n-dimensional differentiable manifolds and theconvex sets determine an open or closed convex set inRn+1. |
| Keywords: | Convex functions level sets differentiable manifolds |
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