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 nec...

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Veröffentlicht in:	Aequationes mathematicae 2024-04, Vol.98 (2), p.381-397
Hauptverfasser:	Liu, Xiaohua, Liu, Liu, Zhang, Weinian
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Combinatorics Discontinuity Mathematics Mathematics and Statistics
Online-Zugang:	Volltext
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Zusammenfassung:	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.
ISSN:	0001-9054 1420-8903
DOI:	10.1007/s00010-024-01034-8