Development from Bernoulli Inequality to Hlder Inequality and Its Applications

journal6 ›› 2010, Vol. 31 ›› Issue (2): 10-14.

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Development from Bernoulli Inequality to Hlder Inequality and Its Applications

(Department of Mathematics,LMIB of the Ministry of Education,Beihang University,Beijing 100191,China)

Online:2010-03-25 Published:2012-04-18

Abstract

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 words: Bernoulli&rsquo, s inequality, geometric mean and arithmetic mean inequality, Young&rsquo, s inequality, Hlder inequality, Minkowski inequality

XING Jia-Sheng, WANG Hong-Zhi. Development from Bernoulli Inequality to Hlder Inequality and Its Applications[J]. journal6, 2010, 31(2): 10-14.

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Development from Bernoulli Inequality to Hlder Inequality and Its Applications

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