Abstract
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.
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Supported by Scientific Research Fund of Sichuan Provincial Education Department under Grant 18ZA0242 (Xiaohua Liu) and NSFSC Grant #2022NSFSC1812 (Liu Liu) and NSFC # 12171336 and # 11831012 (Weinian Zhang).
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Liu, X., Liu, L. & Zhang, W. Homi-repair under iteration (II): oscillating discontinuities and pre-discontinuities. Aequat. Math. 98, 381–397 (2024). https://doi.org/10.1007/s00010-024-01034-8
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DOI: https://doi.org/10.1007/s00010-024-01034-8