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Strict convexity of sets in analytic terms
Published online by Cambridge University Press: 09 April 2009
Abstract
We compare the geometric concept of strict convexity of open subsets of Rn with the analytic concept of 2-strict convexity, which is based on the defining functions of the set, and we do this by introducing the class of 2N-strictly convex sets. We also describe an exhaustion process of convex sets by a sequence of 2-strictly convex sets.
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- Research Article
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- Copyright © Australian Mathematical Society 2006
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