Affiliation:
1. School of Mathematics and Computation Sciences, Hunan City University, Yiyang 413000, China
2. Department of Mathematics, Huzhou University, Huzhou 313000, China
Abstract
We present the best possible parametersα=α(r)andβ=β(r)such that the double inequalityMα(a,b)<Hr(a,b)<Mβ(a,b)holds for allr∈(0, 1/2)anda, b>0witha≠b, whereMp(a, b)=[(ap+bp)/2]1/p (p≠0)andM0(a, b)=abandHr(a, b)=2[ra+(1-r)b][rb+(1-r)a]/(a+b)are the power and one-parameter harmonic means ofaandb, respectively.
Funder
National Natural Science Foundation of China
Cited by
1 articles.
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