Question

论文摘要在线翻译

在中学阶段，我们已学过有关不等式证明的放缩法、反证等方法， 在微积分中，一些经典或重要结果往往也表现为不等式，研究不等式的主要工具有凹凸函数、单调函数和中值定理、极限值法、泰勒公式法、条件极值等.文章归纳总结了几种不等式的一些证明方法，分别是单调性法、拉格朗日中值法、柯西中值法、泰勒公式法、凹凸函数法、函数极值及最值法并进一步给出了不等式的证明及方法总结.
急求，不要工具的死板，要求正确流畅的，谢谢系诶

Answer 1

In secondary schools, we have learned about inequality to prove the scaling law, evidence to the contrary, in calculus, a number of classic or important results are often expressed as the inequality, the inequality the main tool the bump function, monotone functions and valuestheorem, limit law, the Taylor formula method of conditional extremum article summarizes several inequalities method of proof are monotonicity law, for Lagrange method, the Cauchy mean value method, the Taylor formula, bumpfunction method, function extremum and the best value method and further gives the inequality proof summary.