2004•Journal of Zhejiang University(Sciences Edition)Requires access

A class of geometric inequalities for an interior point of a simplex

Yang Shi-guo

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Abstract

Analytic method and theory on geometric inequalities concerning the mass-points system were used to study the problem about geometric inequalities for an interior point of a simplex. A class of geometric inequalities for an interior point of a simplex are established. As its special case, a geometric inequality for the pedal simplex is obtained.

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What this paper is about

Analytic method and theory on geometric inequalities concerning the mass-points system were used to study the problem about geometric inequalities for an interior point of a simplex. A class of geometric inequalities for an interior point of a simplex are established. As its special case, a geometric inequality for the pedal simplex is obtained.

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Available abstract

Analytic method and theory on geometric inequalities concerning the mass-points system were used to study the problem about geometric inequalities for an interior point of a simplex. A class of geometric inequalities for an interior point of a simplex are established. As its special case, a geometric inequality for the pedal simplex is obtained.

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

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