Sharp Power Mean Bounds for Sándor Mean

[摘要] We prove that the double inequality Mp(a,b)0 with a≠b if and only if p≤1/3 and q≥log 2/(1+log 2)=0.4093…, where X(a,b) and Mr(a,b) are the Sándor and rth power means of a and b, respectively.

[发布日期] 2015-01-15