2006•Unpublished venueRequires access

Geometric Inequalities for an Interior Point of a Simplex

Ji-Bing Qi

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Abstract

Using analytic method and theory of geometric inequality,the problem of geometric inequalities concerning an interior point of a simplex in EN is discussed,and some inequalities for an interior point of a simplex are established.As a special case,some geometric inequalities for volume of a simplex with its medians and circumradius are obtained.

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What this paper is about

Using analytic method and theory of geometric inequality,the problem of geometric inequalities concerning an interior point of a simplex in EN is discussed,and some inequalities for an interior point of a simplex are established.As a special case,some geometric inequalities for volume of a simplex with its medians and circumradius are obtained.

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Available abstract

Using analytic method and theory of geometric inequality,the problem of geometric inequalities concerning an interior point of a simplex in EN is discussed,and some inequalities for an interior point of a simplex are established.As a special case,some geometric inequalities for volume of a simplex with its medians and circumradius are obtained.

Key concepts: Simplex, Interior point method, Mathematics, Inequality, Point (geometry), Geometric mean, Combinatorics, Mathematical analysis

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