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刘徽不等式与祖冲之不等式的注记
引用本文:苏化明,潘杰. 刘徽不等式与祖冲之不等式的注记[J]. 数学的实践与认识, 2012, 42(8): 197-199
作者姓名:苏化明  潘杰
作者单位:合肥工业大学 数学系,安徽合肥,230009
摘    要:利用微分学方法给出刘徽不等式与祖冲之不等式的证明;得到两个关于双曲函数的不等式;还得到两个关于单位圆内接正n边形周长与π之间关系的不等式.

关 键 词:刘徽不等式  祖冲之不等式  三角函数不等式  双曲函数不等式

Notes on Liu Hui Inequality and Zu Chongchi Inequality
SU Hua-ming , PAN Jie. Notes on Liu Hui Inequality and Zu Chongchi Inequality[J]. Mathematics in Practice and Theory, 2012, 42(8): 197-199
Authors:SU Hua-ming    PAN Jie
Affiliation:(Department of Mathematics of Hefei University of Technolgy,Hefei 23009,China)
Abstract:The Liu Hui Inequality and Zu Chongchi Inequality are proved using the method of differentiation.Two inequalities of hyperbolic function are established.Two inequalities between the perimeter of inscribed regular polygon of unit circle with 7rare given in this note.
Keywords:Liu Hui Inequality  Zu Chongchi Inequality  Inequalities of trigonometric function  inequalities of hyperbolic function
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