ABSTRACT

ACT The arithmetic-georrietric mean inequality has rriot,ivat,cd rrlltriy variations anti gerreralizatioiis. OIK cxterision, due to Ky Fan, is a n incquzlity or rizi,ios of arithnletic means versus gcomct,ric means. Using a nlajorixation alpmreiit wc show that this in equal it,^; is a. special case of a general rrioriotonicity rcsult.