Abstract

The power and some other families of mean values, considered as the functions of parameter, have asymptotically linear distribution. This holds if either all the variables converge to the same value, or under the equal tending to infinity of additive increment of the variables. This limit linearity strengthens asymptotic property of Hoehn and Niven [10] which was investigated in several papers.

Keywords: Power mean values, asymptotic linearity.

MSC: 26B05

Pages:  15$-$19     

Volume  51 ,  Issue  1$-$2 ,  1999