International Journal of Mathematics and Mathematical Sciences (Jan 1990)
An inequality of W. L. Wang and P. F. Wang
Abstract
In this note we present a proof of the inequality Hn/H′n≤Gn/G′n where Hn and Gn (resp. H′n and G′n) denote the weighted harmonic and geometric means of x1,…,xn (resp. 1−x1,…,1−xn) with xi∈(0,1/2], i=1,…,n.
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