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arxiv: 1309.1772 · v3 · pith:W6RMB2CPnew · submitted 2013-09-06 · 🧮 math.AP · math.CA· math.CV· math.DG

Notes on the differentiation of quasi-convex functions

classification 🧮 math.AP math.CAmath.CVmath.DG
keywords basicfunctionsquasi-convexadequatealongapplycasescombined
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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.

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