迭代下的同向修复（II）：振荡不连续和前不连续

IF 0.9 3区数学 Q2 MATHEMATICS

Aequationes Mathematicae Pub Date : 2024-02-25 DOI:10.1007/s00010-024-01034-8

Xiaohua Liu, Liu Liu, Weinian Zhang

引用次数: 0

摘要

摘要有研究表明，对于具有一个以上但有限多个间断点的函数，可移动和跳跃的间断点具有二阶 \(C^0\) 同修复。本文研究了这些函数的振荡不连续和前不连续的二阶 \(C^0\) 同修复，并给出了通过二阶迭代进行 \(C^0\) 修复的必要和充分条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Homi-repair under iteration (II): oscillating discontinuities and pre-discontinuities

查看原文本刊更多论文

Homi-repair under iteration (II): oscillating discontinuities and pre-discontinuities

It is shown that removable and jumping discontinuities for functions having more than one but finitely many discontinuities have a second order \(C^0\) homi-repair. In this paper we study second order \(C^0\) homi-repair of oscillating discontinuities and pre-discontinuities for those functions and give necessary and sufficient conditions for \(C^0\) repair by second order iteration.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Aequationes Mathematicae MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.70

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： aequationes mathematicae is an international journal of pure and applied mathematics, which emphasizes functional equations, dynamical systems, iteration theory, combinatorics, and geometry. The journal publishes research papers, reports of meetings, and bibliographies. High quality survey articles are an especially welcome feature. In addition, summaries of recent developments and research in the field are published rapidly.