## α-sets in finite dimensional Euclidean spaces and their properties

- V. N. Ushakov, A. A. Uspenskii
- Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki…
- 2016

@article{Ushakov2017AlphaSI, title={Alpha sets in finite-dimensional euclidean spaces and their properties}, author={Vladimir N. Ushakov and Aleksandr A. Uspenskii and Aleksandr A. Ershov}, journal={2017 Constructive Nonsmooth Analysis and Related Topics (dedicated to the memory of V.F. Demyanov) (CNSA)}, year={2017}, pages={1-4} }

- Published 2017 in 2017 Constructive Nonsmooth Analysis and Related…

We consider α set as a generalization of convex sets. In this paper it is proved that the distance from α-set to its convex hull in the Hausdorff metric is small. An estimate of this distance depending on the value of α.

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