Minc—Sathre不等式的推广  

Popularization of Minc-Sathre inequality

作　　者：孙秀亭[1] 

机构地区：[1]河南质量工程职业学院基础部,河南平顶山467001

出　　处：《重庆工商大学学报（自然科学版）》2006年第2期114-116,共3页Journal of Chongqing Technology and Business University:Natural Science Edition

摘　　要：利用数学归纳法,给出了由首项不小于公差的正项等差数列,构造出了一个新的严格单调递增有界数列;将文献《数列nn!n的单调有界性及其极限》中的命题进行推广,得出了Minc—Sathre不等式及其推广.In this paper, the author composes a new strictly monotone increasing bounded sequence of number from an arithmetic sequence of number whose first term is not less than the positive term of common difference by mathematical inductin. On the basis of above, the author popularizes the statement from the essay,＂Monotone Boundedness and its Limits of {n√n!/n}＂,and gets the Minc -Satre inequality with its popularization

关 键 词：等差数列 数学归纳法 严格单调递增 

分 类 号：O143[理学—数学]