The approximate local monotony of measurable functions
Published online by Cambridge University Press: 24 October 2008
Extract
1. The description “approximate”, as applied to properties of a measurable function at a point, has come to mean, roughly speaking, “with the neglect of sets of measure zero”. If a function has, at a point x0, a certain property, such as differentiability or continuity, then it has the same property in the approximate sense, but not conversely.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 36 , Issue 1 , January 1940 , pp. 9 - 13
- Copyright
- Copyright © Cambridge Philosophical Society 1940
References
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