Approximate convexity of average sums of sets in normed linear spaces
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摘要
This note gives a sufficient condition under which the average sum of a large but finite number of sets in an arbitrary normed linear space is approximately convex. The result can be deduced as a simple corollary of an analogous result for a nonstandard universe. The latter has independent interest.
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论文评审过程:Available online 25 March 2002.
论文官网地址:https://doi.org/10.1016/0096-3003(81)90122-3