Weighted extended mean values
Volume 100 / 2004
Colloquium Mathematicum 100 (2004), 111-117
MSC: Primary 26D15.
DOI: 10.4064/cm100-1-11
Abstract
The author generalizes Stolarsky's Extended Mean Values to a four-parameter family of means $ F(r,s;a,b;x,y)=E(r,s;ax,by)/E(r,s;a,b) $ and investigates their monotonicity properties.