Iterative Roots of Clenched Single-Plateau Functions

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• 作者：Yinhe Lin ; Yingying Zeng ; Weinian Zhang
• 关键词：Iterative root ; fort ; plateau ; flatness
• 刊名：Results in Mathematics
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：71
• 期：1-2
• 页码：15-43
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics, general;
• 出版者：Springer International Publishing
• ISSN：1420-9012
• 卷排序：71

文摘

Concerning iterative roots, a main difficulty comes from forts of continuous functions. A case of infinitely many forts is the class of functions with plateaus. In this paper we consider functions in this class and their iterative roots. We discuss on changes of plateaus under iteration and give a criterion to determine the clenched class. Then we find all iterative roots for clenched single-plateau functions.