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Extension of Convex Function

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.

preprint2013arXivOpen access
Min Yan
math.DSmath.CA
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Min Yan

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