Functions and Analysis

    

Uniform Continuity

Authors: Subrat Kumar Verma

This article discusses the notion of uniform continuity, its relation with the derivative of differentiable functions and Lipschitzcontinuity or even more weakly Hölder continuity related in some way to how wildly the function oscillates. It also discusses its connectionwith compactness for the very large general class of functions - continuous functions. Further, a few properties of uniform continuous function especially with regards to unique continuous extension of functions are discussed.

Comments: 7 Pages. CC-BY

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Submission history

[v1] 2024-10-31 20:00:47

Unique-IP document downloads: 212 times

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