Hadamard Type Inequality for Quasiconvex Functions in Higher Dimensions

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


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
URI https://vuir.vu.edu.au/id/eprint/17364
Subjects Historical > FOR Classification > 0102 Applied Mathematics
Historical > FOR Classification > 0103 Numerical and Computational Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords quasiconvex functions, Hadamard inequality, supremal generators
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