A representation for convex bodies
In this paper we extend the representation for the support function of centrally symmetric convex bodies to arbitrary convex bodies. We discuss some questions on unique determination of convex bodies and consider some classes of convex bodies in terms of support functions.
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| Format: | Article |
| Language: | English |
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Republic of Armenia National Academy of Sciences
2013-08-01
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| Series: | Armenian Journal of Mathematics |
| Online Access: | http://test.armjmath.sci.am/index.php/ajm/article/view/91 |
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doaj-29323bcd2c2e4647aff53f500f1ede37 |
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Article |
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doaj-29323bcd2c2e4647aff53f500f1ede372020-11-25T00:52:43ZengRepublic of Armenia National Academy of SciencesArmenian Journal of Mathematics1829-11632013-08-0151A representation for convex bodiesRafik Aramyan0Russian-Armenian State University; Institute of mathematics of National Academy of Sciences of Armenia Bagramian ave. 24B, 0019 Yerevan, Armenia In this paper we extend the representation for the support function of centrally symmetric convex bodies to arbitrary convex bodies. We discuss some questions on unique determination of convex bodies and consider some classes of convex bodies in terms of support functions. http://test.armjmath.sci.am/index.php/ajm/article/view/91 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Rafik Aramyan |
| spellingShingle |
Rafik Aramyan A representation for convex bodies Armenian Journal of Mathematics |
| author_facet |
Rafik Aramyan |
| author_sort |
Rafik Aramyan |
| title |
A representation for convex bodies |
| title_short |
A representation for convex bodies |
| title_full |
A representation for convex bodies |
| title_fullStr |
A representation for convex bodies |
| title_full_unstemmed |
A representation for convex bodies |
| title_sort |
representation for convex bodies |
| publisher |
Republic of Armenia National Academy of Sciences |
| series |
Armenian Journal of Mathematics |
| issn |
1829-1163 |
| publishDate |
2013-08-01 |
| description |
In this paper we extend the representation for the support function of centrally symmetric convex bodies to arbitrary convex bodies. We discuss some questions on unique determination of convex bodies and consider some classes of convex bodies in terms of support functions.
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| url |
http://test.armjmath.sci.am/index.php/ajm/article/view/91 |
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AT rafikaramyan arepresentationforconvexbodies AT rafikaramyan representationforconvexbodies |
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