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Extension of Convex Function
Published 4 Jul 2012 in math.CA and math.DS | (1207.0944v5)
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.
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