Symmetrization procedures and convexity in centrally symmetric polytopes

DOI10.1016/j.amc.2014.05.082zbMath1335.52025OpenAlexW4299063594MaRDI QIDQ279854

Allal Guessab

Publication date: 29 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.05.082

zbMATH Keywords

convex functionsHermite-Hadamard inequalitycentral symmetrizationcentrally symmetric polytopessymmetrized functions

Mathematics Subject Classification ID

Special polytopes (linear programming, centrally symmetric, etc.) (52B12)

Related Items (2)

On approximation of linear functionals over convex functions: construction techniques and new directions ⋮ On the approximation of strongly convex functions by an upper or lower operator

Cites Work

• Unnamed Item
• Symmetrization, convexity and applications
• Approximations of differentiable convex functions on arbitrary convex polytopes
• Sharp integral inequalities of the Hermite-Hadamard type
• The number of faces of centrally-symmetric polytopes
• Continuity and convexity of projections and barycentric coordinates in convex polyhedra
• An extension of the Hermite-Hadamard inequality for convex symmetrized functions
• Intersections of translates of convex bodies
• Obituary: Kurt Mahler
• Lectures on Polytopes
• Convexity results and sharp error estimates in approximate multivariate integration

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