Acta mathematica scientia,Series A ›› 2013, Vol. 33 ›› Issue (2): 298-308.

• Articles • Previous Articles     Next Articles

Inequalities Between Generalized Logarithmic, Arithmetic and Geometric Means

 CHU Yu-Ming, WANG Miao-Kun   

  1. College of Mathematics and Computing Science, Hunan City University, Hunan Yiyang 413000;College of Mathematics and Econometrics, Hunan University, Changsha 410082
  • Received:2011-02-23 Revised:2012-11-23 Online:2013-04-25 Published:2013-04-25
  • Supported by:

    国家自然科学基金 (11071059, 11071069, 11171307) 资助

Abstract:

In this paper, we establish the best lower and upper bounds for combination of the arithmetic and geometric means by the generalized logarithmic mean. These results solve two open problems posed in the paper [21].

Key words: Generalized logarithmic mean, Arithmetic mean,  Geometric mean

CLC Number: 

  • 26E60
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