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在国内外数学竞赛以及一些数学杂志上出现了一类分式不等式,许多专家都曾对这类不等式作过研究,指出了较多好的证法。本文旨在说明这类分式不等式有一种统一初等证法,就是都利用一个常见的不等式(柯西不等式的特例)(a1+a2+…+an)(1/a1+1/a2+…+
In mathematics competitions at home and abroad as well as some math magazines, there has been a class of fractional inequalities. Many experts have studied such inequalities and pointed out that there are more good proofs. The purpose of this paper is to show that this type of fractional inequality has a unified elementary proof method that uses a common inequality (the special case of Cauchy inequality) (a1+a2+...+an) (1/a1+1/a2+...+