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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/41303


    Title: Refinements on an Inequality of Ky Fan
    Authors: 楊國勝;Yang, Gou-sheng;Wang, Chung-shin
    Contributors: 淡江大學數學學系
    Date: 1996-08-01
    Issue Date: 2010-01-28 07:14:25 (UTC+8)
    Publisher: Elsevier
    Abstract: The aim of the present paper is to show that there are monotonic continuous functionsh(t), k(t), p(t), q(t) such that[formula]and[formula]whereAn,Gn, andHnare arithmetic, geometric, and harmonic means, respectively, of positive numbersx1, x2,…,xn;A′nandG′nare arithmetic and geometric means of a sequence 1−x1, 1−x2,…,1−xnwithxi∈(0, 12],i=1, 2,…,n.
    Relation: Journal of Mathematical Analysis and Applications 201(3), pp.955-965
    DOI: 10.1006/jmaa.1996.0294
    Appears in Collections:[Graduate Institute & Department of Mathematics] Journal Article

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