A generalization of Hadamard's inequality for convex functions

0Citations
Citations of this article
5Readers
Mendeley users who have this article in their library.
Get full text

Abstract

In this note, we give a counterexample to show that Hadamard's inequality does not hold on a polyhedron in multi-dimensional Euclidean space. Then we give a sufficient condition on the polyhedron for Hadamard's inequality to hold. Finally, we provide an approach to create a large class of polyhedra on which Hadamard's inequality is true. © 2007 Elsevier Ltd. All rights reserved.

Cite

CITATION STYLE

APA

Yang, W. H. (2008). A generalization of Hadamard’s inequality for convex functions. Applied Mathematics Letters, 21(3), 254–257. https://doi.org/10.1016/j.aml.2007.02.024

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free