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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 13 (1990), Issue 2, Pages 295-298
doi:10.1155/S0161171290000436

An inequality of W.L. Wang and P.F. Wang

Horst Alzer

Department of Mathematics, University of the Witwatersrand, Johannesburg, South Africa

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.