2013•Journal of Applied MathematicsOpen access

A Reverse Analytic Inequality for the Elementary Symmetric Function with Applications

Huan-Nan Shi, Jing Zhang

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Abstract

We give a reverse inequality involving the elementary symmetric function by use of the Schur harmonic convexity theory. As applications, several new analytic inequalities for the n -dimensional simplex are established.

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We give a reverse inequality involving the elementary symmetric function by use of the Schur harmonic convexity theory. As applications, several new analytic inequalities for the n -dimensional simplex are established.

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Available abstract

We give a reverse inequality involving the elementary symmetric function by use of the Schur harmonic convexity theory. As applications, several new analytic inequalities for the n -dimensional simplex are established.

Key concepts: Convexity, Inequality, Harmonic function, Mathematics, Function (biology), Applied mathematics, Harmonic mean, Simplex

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