摘要
本文针对教材中的一道积分题目,分别采用泰勒级数、Jensen不等式、Cauchy-Schwarz不等式及均值不等式给出四种证明方法,旨在帮助学生拓展思维广度,培养综合能力,提高数学素质.
Using Taylor series, Jensen’s inequality, Cauchy-Schwarz inequality, and arithmetic and geo-metric mean inequalities, four proofs for an integral equality are provided in this paper. The authors wish to expand and enhance students？ thinking rage, ability of synthesis mathematical knowledge and mathe-matical quality.
出处
《高等数学研究》
2017年第3期4-5,共2页
Studies in College Mathematics
基金
西北农林科技大学教学改革项目(JY1504078
JY1501001-2
JY1501001-3).西北农林科技大学校级教学改革项目(JY1702046
JY1701008)
