Uniform absolute continuity
In mathematical analysis, a collection of real-valued and integrable functions is uniformly absolutely continuous, if for every , there exists such that for any measurable set , implies
for all .
See also
References
- J. J. Benedetto (1976). Real Variable and Integration - section 3.3, p. 89. B. G. Teubner, Stuttgart. ISBN 3-519-02209-5
- C. W. Burrill (1972). Measure, Integration, and Probability - section 9-5, p. 180. McGraw-Hill. ISBN 0-07-009223-0
This article is issued from Wikipedia - version of the 11/7/2014. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.