Transformation of power means and a new class of means

AbstractUsing transformations associated with power means, a new class of means is defined. The behavior of these means is examined vis-à-vis power means, as a free parameter is varied. In particular, limits which contain those of J. L. Brenner (Pi Mu Epsilon J. 8(1985), 160–163) and L. Hoehn and I. Niven (Math. Mag. 58 (1985), 151–156) are obtained