Abstract: We study the local and global versions of the convexity, which is closely related to the problem of extending a convex function on a non-convex domain to a convex function on the convex hull of the domain and beyond the convex hull. We also give the parallel results for the convexity defined by positive definite Hessian. Mathematics Subject Classification: Primary 26B25
Publication Year: 2012
Publication Date: 2012-07-04
Language: en
Type: article
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Cited By Count: 32
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