NUMBER OF VERTICES FOR POLYGONAL FUNCTIONS UNDER ITERATION
NUMBER OF VERTICES FOR POLYGONAL FUNCTIONS UNDER ITERATION
한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2007, v.14 no.2, pp.99-109
Li, Lin
(DEPARTMENT OF MATHEMATICS, SICHUAN UNIVERSITY)
Li, Lin.
(2007). NUMBER OF VERTICES FOR POLYGONAL FUNCTIONS UNDER ITERATION. 한국수학교육학회지시리즈B:순수및응용수학, 14(2), 99-109.
Abstract
Being complicated in computation, iteration of a nonlinear 1-dimensional mapping makes many interesting problems, one of which is about the change of the number of vertices under iteration. In this paper we investigate iteration of polygonal functions which each have only one vertex and give conditions under which the number of vertices either does not increase or has a bound under iteration.
- keywords
-
iteration,
polygonal function,
vertex,
left (right) derivative