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A Clarke–Ledyaev Type Inequality for Certain Non–Convex Sets

Ivanov, M.Zlateva, N. — 2000

Serdica Mathematical Journal

We consider the question whether the assumption of convexity of the set involved in Clarke-Ledyaev inequality can be relaxed. In the case when the point is outside the convex hull of the set we show that Clarke-Ledyaev type inequality holds if and only if there is certain geometrical relation between the point and the set.

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