Author/Authors :
Gou-Sheng Yang، نويسنده , , Chung-shin Wang، نويسنده ,
Abstract :
The aim of the present paper is to show that there are monotonic continuous
functions h t., k t., p t., q t. such that
HnFh t.FGnFk t.FAn
and
Hn Gn An Fp t.F Fq t.F , 1yHn GnX AXn
where An, Gn, and Hn are arithmetic, geometric, and harmonic means, respectively,
of positive numbers x1, x2, . . . , xn; AXnand GnX are arithmetic and geometric
means of a sequence 1yx1, 1yx2, . . . , 1yxn with xig 0,12x, is1, 2, . . . , n.
Q 1996 Academic Press, Inc
