Lipschitz Continuity

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A function is Lipschitz continuous on an interval if there is a positive constant
such that
for all
,
in the interval. Geometrically this requires the entire graph of
to be between the lines
for any
in the interval. The smallest possible
is the largest magnitude of the slope of
in the interval.
Contributed by: Bruce Atwood (March 2011)
Open content licensed under CC BY-NC-SA
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"Lipschitz Continuity"
http://demonstrations.wolfram.com/LipschitzContinuity/
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Published: March 7 2011