From Uniform Continuity to Absolute Continuity


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)


1 Figure or Table

Cite this paper

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