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Hadamard Type Inequality for Quasiconvex Functions in Higher Dimensions

Rubinov, Alexander and Dutta, J (2000) Hadamard Type Inequality for Quasiconvex Functions in Higher Dimensions. RGMIA research report collection, 4 (1).

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Abstract

In this article we study a Hadamard type inequality for nonnegative evenly quasiconvex functions. The approach of our study is based on the notion of abstract convexity. We also provide an explicit calculation to evaluate the asymptotically sharp constant asscociated with the inequality over a unit square in the two dimensional plane.

Item Type: Article
Uncontrolled Keywords: quasiconvex functions, Hadamard inequality, supremal generators
Subjects: FOR Classification > 0102 Applied Mathematics
FOR Classification > 0103 Numerical and Computational Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 19 Jul 2012 02:54
Last Modified: 23 May 2013 16:49
URI: http://vuir.vu.edu.au/id/eprint/17364
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