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Examples of uniformly continuous functions include Lipschitz functions and those satisfying the Hölder condition. Note however that not all continuous functions are uniformly continuous with two very basic counterexamples being
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SEE ALSO: Continuous Function,Equicontinuous
This entry contributed by ChristopherStover
REFERENCES:
Carothers, N.L. RealAnalysis. New York: Cambridge University Press, 2000.
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