Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4663966 | Acta Mathematica Scientia | 2014 | 10 Pages |
Abstract
In this article, we prove that the double inequality
αP(a,b)+1(1âα)Q(a,b) 0 with a â b if and only if α ⥠1/2 and
βâ¤[Ï(2log(1+2)â1)]/[(2Ïâ2)log(1+2)]=03595â¦, where M(a,b), Q(a,b), and P(a,b) are the Neuman-Sándor, quadratic, and first Seiffert means of a and b, respectively.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Yuming CHU, Tiehong ZHAO, Yingqing SONG,