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

• Mathematics • Previous Articles     Next Articles

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


  1. (Department of  Mathematics,LMIB of the Ministry of Education,Beihang University,Beijing 100191,China)
  • Online:2010-03-25 Published:2012-04-18

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

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