Iteration changes discontinuity into smoothness (Ⅱ): oscillating case
It has been shown that a self-mapping with exactly one removable or jumping discontinuity may have a $ C^1 $ smooth iterate of the second-order. However, some examples show that a self-mapping with exactly one oscillating discontinuity may also have a $ C^1 $ smooth iterate of the second-order, indi...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2023-02-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023441?viewType=HTML |