Monotonicity of generalized weighted mean values
Volume 99 / 2004
Colloquium Mathematicum 99 (2004), 203-206
MSC: Primary 26D15.
DOI: 10.4064/cm99-2-5
Abstract
The author gives a new simple proof of monotonicity of the generalized extended mean values $$ M(r,s)= \left ({\int f^s \kern .16667em d\mu \over \int f^r \kern .16667em d\mu } \right)^{1/(s-r)} $$ introduced by F. Qi.
