arXiv:1309.1772 Abstract | arXiv Analytics

arXiv:1309.1772 [math.AP]Abstract References Reviews Resources

Notes on the differentiation of quasi-convex functions

Published 2013-09-06, updated 2016-07-30Version 3

This expository paper presents elementary proofs of four basic results concerning derivatives of quasi-convex functions. They are combined into a fifth theorem which is simple to apply and adequate in many cases. Along the way we establish the equivalence of the basic lemmas of Jensen and Slodkowski.

Comments: An appendix has been added discussing the Hiriart-Urruty and Plazanet characterization of C^{1,1} in terms of quasi-convexity

Categories: math.AP, math.CA, math.CV, math.DG

Subjects: 35D40, 52A41

Keywords: quasi-convex functions, differentiation, basic results concerning derivatives, basic lemmas, expository paper

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