利用函数特性的方法证明定积分不等式  

The Method of Using Function Characteristics to Prove Definite Integral Inequality

作　　者：谢歆鑫[1] 

机构地区：[1]西安航空职业技术学院基础部,陕西西安710089

出　　处：《四川职业技术学院学报》2015年第5期164-165,共2页Journal of Sichuan Vocational and Technical College

摘　　要：借助函数的一阶和二阶导数,判断函数的单调性和凹凸性,再利用这些函数特性证明积分不等式.为积分不等式的证明拓展了一种思路,丰富了积分不等式的证明方法.With the aid of the first and the second order derivative, the monotonicity and concave-convexity of function were judged. And Definite Integral Inequality was proved through these characteristics of function. A new thought for the proof of Integral Inequality was obtained, which has enriched the proof method of Integral Inequality.

关 键 词：单调性 凸函数 定积分不等式 

分 类 号：O178[理学—数学]