2008Journal of Inner Mongolia University for the NationalitiesRequires access

The Generalization of the Product Inequality

Ai-Ping Ji

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Abstract

The arithmetic-geometric mean inequality has a wide application in the proof of the inequality.In the paper,based on the given paper(1), the result of the product inequality is generalized for many times by applying the arithmetic-geometric mean inequality.Then,we derive a more general inequality than the original inequality.

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What this paper is about

The arithmetic-geometric mean inequality has a wide application in the proof of the inequality.In the paper,based on the given paper(1), the result of the product inequality is generalized for many times by applying the arithmetic-geometric mean inequality.Then,we derive a more general inequality than the original inequality.

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Available abstract

The arithmetic-geometric mean inequality has a wide application in the proof of the inequality.In the paper,based on the given paper(1), the result of the product inequality is generalized for many times by applying the arithmetic-geometric mean inequality.Then,we derive a more general inequality than the original inequality.

Key concepts: Bernoulli's inequality, Inequality of arithmetic and geometric means, Log sum inequality, Ky Fan inequality, Rearrangement inequality, Mathematics, Kantorovich inequality, Inequality

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