Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4627714 | Applied Mathematics and Computation | 2014 | 9 Pages |
Abstract
Univariate symmetrization technique has many good properties. In this paper, we adopt the high-dimensional viewpoint, and propose a new symmetrization procedure in arbitrary (convex) polytopes of RdRd with central symmetry. Moreover, the obtained results are used to extend to the arbitrary centrally symmetric polytopes the well-known Hermite–Hadamard inequality for convex functions.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Allal Guessab,