Multi-dimensional Hadamard's inequalities | Zendy

Yin Chen | Zendy

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Multi-dimensional Hadamard's inequalities

Author(s) -

Yin Chen

Publication year - 2012

Publication title -

tamkang journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.324

H-Index - 18

eISSN - 0049-2930

pISSN - 2073-9826

DOI - 10.5556/j.tkjm.43.2012.677

Subject(s) - mathematics , hadamard transform , convex function , regular polygon , convex body , combinatorics , ball (mathematics) , radius , convex set , function (biology) , pure mathematics , mathematical analysis , convex optimization , geometry , computer science , computer security , evolutionary biology , biology

In this paper, Hadamard's inequalities are extended to a convex function on a convex set in $R^2$ or $R^3$. In particular, it is proved that the average of convex function on a ball of radius $r$ is between the average of the function on the circle of radius r and that on the circle of $frac{2r}{3}

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