Article ID Journal Published Year Pages File Type
4627714 Applied Mathematics and Computation 2014 9 Pages PDF
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
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