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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.14 No.2

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NUMBER OF VERTICES FOR POLYGONAL FUNCTIONS UNDER ITERATION

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / 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
Li,, L. (2007). NUMBER OF VERTICES FOR POLYGONAL FUNCTIONS UNDER ITERATION. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 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

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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