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2010•Journal of Jishou UniversityRequires access

Development from Bernoulli Inequality to Hlder Inequality and Its Applications

Xing Jia-sheng, Hongzhi Wang

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Abstract

This paper presents the proof of geometric mean and arithmetic mean inequality by Bernoulli inequality.Then it gives the proof of Young inequality and gets the elementary proof of Hlder inequality.And some important inequalities can be proved by those results.

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What this paper is about

This paper presents the proof of geometric mean and arithmetic mean inequality by Bernoulli inequality.Then it gives the proof of Young inequality and gets the elementary proof of Hlder inequality.And some important inequalities can be proved by those results.

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Available abstract

This paper presents the proof of geometric mean and arithmetic mean inequality by Bernoulli inequality.Then it gives the proof of Young inequality and gets the elementary proof of Hlder inequality.And some important inequalities can be proved by those results.

Key concepts: Bernoulli's inequality, Inequality, Hölder's inequality, Log sum inequality, Mathematics, Bernoulli's principle, Ky Fan inequality, Kantorovich inequality

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