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文 [1 ]、[2 ]都对根式和下界不等式的证法进行过探讨 ,文 [3 ]利用高阶导数等高等数学知识进行了研究 .本文运用中学数学方法 ,给出证明根式和下界不等式的更为一般的公式 ,使曾在众多书刊中出现的若干不等式均为其特例 ,简捷解决有关根式和下确界问题 .引理 设 0≤ x≤λ≤
Both [1] and [2] have discussed the proofs of the radical and lower bound inequalities. The paper [3] uses higher-order derivatives and other advanced mathematics knowledge to study. This paper uses the middle school mathematics method to give proof of the root and lower bound inequalities. The more general formulas of the equations make the inequalities that have appeared in numerous books and periodicals as special cases, and simply solve the problems related to the root and the hypothesis. Lemma set 0 ≤ x ≤ λ ≤