- Title
- On the construction of Hölder and proximal subderivatives
- Creator
- Borwein, J. M.; Girgensohn, R.; Wang, Xianfu
- Relation
- Canadian Mathematical Bulletin Vol. 41, Issue 4, p. 497-507
- Publisher Link
- http://dx.doi.org/10.4153/CMB-1998-065-9
- Publisher
- University of Toronto Press
- Resource Type
- journal article
- Date
- 1998
- Description
- We construct Lipschitz functions such that for all s > 0 they are s-Hölder, and so proximally, subdifferentiable only on dyadic rationals and nowhere else. As applications we construct Lipschitz functions with prescribed Hölder and approximate subderivatives.
- Subject
- Lipschitz functions; Hölder; subderivatives
- Identifier
- http://hdl.handle.net/1959.13/940639
- Identifier
- uon:13055
- Identifier
- ISSN:0008-4395
- Language
- eng
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