Affiliation:
1. Department of Mathematics, Huzhou Teachers College, Huzhou 313000, China
2. Department of Mathematics, Zhejiang Sci-Tech University, Hangzhou 310018, China
Abstract
We answer the question: forα∈(0,1), what are the greatest valuepand the least valueqsuch that the double inequalityMp(a,b)<Pα(a,b)G1−α(a,b)<Mq(a,b)holds for alla,b>0witha≠b. Here,Mp(a,b),P(a,b), andG(a,b)denote the power of orderp, Seiffert, and geometric means of two positive numbersaandb, respectively.
Funder
National Natural Science Foundation of China
Subject
Applied Mathematics,Analysis
Cited by
24 articles.
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