Bernouli不等式的改进与应用  

Improvement of Bernouli Inequality and Its and Applications

作　　者：戴志敏[1] 冯孝周[1] 

机构地区：[1]西安工业大学理学院,西安710032

出　　处：《大学数学》2015年第4期20-24,共5页College Mathematics

基　　金：陕西省自然科学基金项目(2013JC2-31);西安工业大学校长基金(XAGDXJJ1323)

摘　　要：对一般的Bernouli不等式满足的条件作了一个新的限定,利用二项式定理和等比数列的性质并采用分类讨论的思想证明了一个新的Bernouli不等式,由此不等式证明了经济学中的等额本金还款法和等额本息还款法的差异,并利用数值计算实验验证了此差异,从而由此结论给出了针对不同人群的还贷策略.The general conditions of Bernouli inequality to meet is imposed on a new limit, using the binomial theorem and the properties of the geometric sequence and the idea of using the classification discussing prove a new Bernouli inequality, with which it is proved that the differences of equal principal repayment method and equal installments of principal and interest repayment method in economics; and these differences are verified with numerical experiments, thus the loan policies for different populations are given.

关 键 词：Bernouli不等式 二项式定理 等比数列 等额本金还款法 等额本息还款法 

分 类 号：O29[理学—应用数学] F830.5[理学—数学]