Lipschitz Continuous Points of Functions on an Interval

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2025Publisher:Elsevier BVJournal:Examples and Counterexamples, volume 8, page 100,194 (issn: 2666-657X,

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Authors: Zhekai Shen;

doi: 10.2139/ssrn.5166619 , 10.1016/j.exco.2025.100194 , 10.2139/ssrn.5196685

Lipschitz Continuous Points of Functions on an Interval

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Abstract

In this paper, we address the problem of finding functions with predetermined Lipschitz continuous points. More precisely, given A⊆[0,1], we are interested in the existence of function f:[0,1]→R which is Lipschitz continuous exactly on A. Our result is related to Liouville numbers.

Keywords

Liouville numbers, QA1-939, Lipschitz continuous, Mathematics, Oscillation functions

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