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Regularity of locally Lipschitz functions on the line

Sciffer, Scott (1994) Regularity of locally Lipschitz functions on the line. [Preprint]

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      Abstract

      A locally Lipschitz function is regular at points where its lower Dini and Clarke derivatives coincide. For a locally Lipschitz function on an open interval it is shown that the set of points where the function is regular but not differentiable is at most countable. By constructing a set with unusual metric density properties, and integrating its characteristic function, we produce a locally Lipschitz function which is nowhere regular.

      Item Type: Preprint
      Additional Information: pubdom FALSE
      Subjects: UNSPECIFIED
      Faculty: UNSPECIFIED
      Depositing User: Users 1 not found.
      Date Deposited: 17 Nov 2003
      Last Modified: 21 Apr 2010 11:13
      URI: https://docserver.carma.newcastle.edu.au/id/eprint/79

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