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This article is cited in 5 scientific papers (total in 5 papers)
Isoperimetric problems for the convex hulls of polygonal lines and curves in multidimensional spaces
A. A. Nudelman
Abstract:
Sharp estimates are obtained for the convex hulls of polygonal lines which are convex in $\mathbf R^n$ (i.e. which are cut by an arbitrary hyperplane no more than $n$ times) and have segments of given length and number. The extremal polygonal lines are found.
Closed and open polygonal lines are considered. Passing to the limit yields the solution of similar problems for convex curves.
Bibliography: 13 titles.
Received: 04.06.1973 and 29.05.1974
Citation:
A. A. Nudelman, “Isoperimetric problems for the convex hulls of polygonal lines and curves in multidimensional spaces”, Mat. Sb. (N.S.), 96(138):2 (1975), 294–313; Math. USSR-Sb., 25:2 (1975), 276–294
Linking options:
https://www.mathnet.ru/eng/sm3135https://doi.org/10.1070/SM1975v025n02ABEH002209 https://www.mathnet.ru/eng/sm/v138/i2/p294
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Abstract page: | 414 | Russian version PDF: | 131 | English version PDF: | 14 | References: | 40 |
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