Acta mathematica scientia,Series A ›› 2015, Vol. 35 ›› Issue (1): 36-42.

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Bounds for Toader Mean by Quadratic and Harmonic Means

 SUN Hui, CHU Yu-Meng   

  1. School of Mathematics and Computation Sciences, Hunan City University, Hunan |Yiyang 413000
  • Received:2013-04-08 Revised:2014-02-15 Online:2015-02-25 Published:2015-02-25

Abstract:

We prove that the double inequalities and
hold for all a,b>0 with  if and only if  and .Here, and
denote the quadratic, harmonic and Toader means of two positive
numbers  and , respectively.

Key words: Quadratic mean ,  Harmonic mean ,  Toader mean

CLC Number: 

  • 26E60
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