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Feigenbaum方程的一类精确解的凹凸性
引用本文:蔡耀雄,陈尔明.Feigenbaum方程的一类精确解的凹凸性[J].华侨大学学报(自然科学版),2005,26(1):27-30.
作者姓名:蔡耀雄  陈尔明
作者单位:华侨大学数学系,福建,泉州,362021;华侨大学数学系,福建,泉州,362021
摘    要:研究Feigenbaum方程的一类简单的精确解的性质.它为分段分式线性函数.采用分析的方法,对其各段凹凸性进行充分讨论.从而,完成对其解曲线的整体凹凸性进行研究。

关 键 词:Feigenbaum方程  分段分式线性函数  准确解  单调性  凹凸性
文章编号:1000-5013(2005)04-0027-04

Concavity-Convexity of a Class of Accurate Solutions to Feigenbaum Functional Equation
Cai Yaoxiong,Chen Erming.Concavity-Convexity of a Class of Accurate Solutions to Feigenbaum Functional Equation[J].Journal of Huaqiao University(Natural Science),2005,26(1):27-30.
Authors:Cai Yaoxiong  Chen Erming
Abstract:A study is made on the property of a class of simple and accurate solutions to Feigenbaum functional equation, which is piecewisely and fractionally linear function. By adopting analytical method, the authors fully discuss the concavity convexity of its each piece; and thus accomplish the study of the global concavity convexity of its solution curve.
Keywords:Feigenbaum functional equation  piecewisely and fractionally linear function  accurate solution  monotonicity  concavity-convexity
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