Almost everywhere convex functions on R n and weak derivatives
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The classical subdifferential calculus is a useful tool in order to establish characterizations of convex functions and optimality conditions; but it becomes useless when one thinks to study almost everywhere convex functions. In this paper by using Sobolev space theory we give some characterizations of this class of functions.
KeywordsConvex Function Previous Theorem Nonsmooth Optimization Sufficient Optimality Condition Weak Derivative
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