Affiliation:
1. School of Mathematics and Computation Science, Hunan City University, Yiyang 413000, China
Abstract
We prove that the inequalityTQ(a,b)>Lp(a,b)holds for alla,b>0witha≠bif and only ifp≤3/2, whereTQ(a,b)=2/π∫0π/2acos2θbsin2θdθ,Lp(a,b)=[(bp-ap)/(p(b-a))]1/p (p≠0), andL0(a,b)=abare, respectively, the Toader-Qi andp-order logarithmic means ofaandb. As applications, we find two fine inequalities chains for certain bivariate means.
Funder
National Natural Science Foundation of China
Cited by
8 articles.
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