From Uniform Continuity to Absolute Continuity

Abstract

The notion of uniform continuity emerged slowly in the lectures of Dirichlet(1854) and of Weierstrass(1861) [1]. Then in 1905, Vitali established the absolute continuity for a class of functions in the paper “Sulle funzioni integrali” [2]. Sooner or later, several equivalent and sufficient conditions for a function to be absolutely continuous were derived… (More)

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Cite this paper

@inproceedings{Yang2010FromUC, title={From Uniform Continuity to Absolute Continuity}, author={Kai Yang and Chenhong Zhu}, year={2010} }