关于几类函数的迭代问题  

Iterative question of several kinds of functions

作　　者：张荣[1] 

机构地区：[1]重庆师范大学数学与计算机科学学院,重庆400047

出　　处：《重庆工商大学学报（自然科学版）》2007年第1期3-5,25,共4页Journal of Chongqing Technology and Business University:Natural Science Edition

摘　　要：迭代问题是一个既古老又年轻的问题,提出了两个都可迭代的线性函数,证明了它们先迭代后进行四则运算,不等于它们先进行四则运算后进行迭代;同时,对某几类形如x(akx+b)k,k(ax+bxk),cmxk,xk-(xxk-1)k,(x+c)k-c,分子-分母=(x-1)k,cosmα,sinmα的函数进行了研究,给出了它们迭代n次后的结果.　The matter of iteration is an old as well as a young question,this paper puts forward two iterative linear functions that iterate first and then make arithmetic and which are unequal to going along arithmetic before iteration;studies several kinds of functions such as x/（ak√x＋b）^k,k√（ax＋bx^k）,c^mx^k,x^k/x^k-（x-1）^k,（x＋c）^k-c,numerator-denominator=（x-1）^k,cos mα,sin mα and gives the result of them after iterating n times.

关 键 词：迭代 四则运算 桥函数 代换 

分 类 号：O19[理学—数学]