Email this article On the complexity of the family of convex sets in ℝd
- Authors: Pernay V.V.1
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Affiliations:
- Lomonosov Moscow State University
- Issue: Vol 99, No 3-4 (2016)
- Pages: 534-544
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/149292
- DOI: https://doi.org/10.1134/S0001434616030263
- ID: 149292
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Abstract
Estimates of quantities characterizing the complexity of the family of convex subsets of the d-dimensional cube [1, n]d as n→∞ are given. The geometric properties of spaces with norm generated by the generalized majorant of partial sums are studied.
About the authors
V. V. Pernay
Lomonosov Moscow State University
Author for correspondence.
Email: vladimir.pernay@gmail.com
Russian Federation, Moscow
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