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2009•College MathematicsRequires access

Extensions of Child Inequality for n-dimensional Simplex in E~n

Yang Shi-guo

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Abstract

Using analytic method and theory of geometric inequalities,The problem about geometric inequalities for an interior point of a simplex was given.A class of geometric inequalities for an interior point of a simplex are established.The n-dimensional Child inequality was improved.

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What this paper is about

Using analytic method and theory of geometric inequalities,The problem about geometric inequalities for an interior point of a simplex was given.A class of geometric inequalities for an interior point of a simplex are established.The n-dimensional Child inequality was improved.

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Available abstract

Using analytic method and theory of geometric inequalities,The problem about geometric inequalities for an interior point of a simplex was given.A class of geometric inequalities for an interior point of a simplex are established.The n-dimensional Child inequality was improved.

Key concepts: Mathematics, Simplex, Inequality, Class (philosophy), Interior point method, Point (geometry), Ky Fan inequality, Pure mathematics

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