Filomat 2011 Volume 25, Issue 4, Pages: 63-73
doi:10.2298/FIL1104063G
Full text ( 241 KB)
Cited by


The function (bx−ax)/x: Logarithmic convexity and applications to extended mean values

Guo Bai-Ni, Feng Qi

In the paper, we first prove the logarithmic convexity of the elementary function bx−ax/x, where x ≠ 0 and b > a > 0. Basing on this, we then provide a simple proof for Schur-convex properties of the extended mean values, and, finally, discover some convexity related to the extended mean values.

Keywords: Schur-convexity, Extended mean values, Lazarević’s inequality

More data about this article available through SCIndeks