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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2014, Volume 14, Issue 3, Pages 267–272
DOI: https://doi.org/10.18500/1816-9791-2014-14-3-267-272 (Mi isu509) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

On an Approach to Approximate Solving of the Problem for the Best Approximation for Compact Body by a Ball of Fixed Radius

S. I. Dudov, M. A. Osipcev

Saratov State University, 83, Astrakhanskaya str., Saratov, 410012, Russia
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DOI: https://doi.org/10.18500/1816-9791-2014-14-3-267-272
Abstract: In this paper, we consider the problem of the best approximation of a compact body by a fixed radius ball with respect to an arbitrary norm in the Hausdorff metric. This problem is reduced to a linear programming problem in the case, when compact body and ball of the norm are polytops.
Key words: convex compact body, Hausdorff metric, function of distance, approximation, subdifferential.
Bibliographic databases:
Document Type: Article
UDC: 519.853
Language: Russian
Citation: S. I. Dudov, M. A. Osipcev, “On an Approach to Approximate Solving of the Problem for the Best Approximation for Compact Body by a Ball of Fixed Radius”, Izv. Saratov Univ. Math. Mech. Inform., 14:3 (2014), 267–272
Citation in format AMSBIB
\Bibitem{DudOsi14}
\by S.~I.~Dudov, M.~A.~Osipcev
\paper On an Approach to Approximate Solving of the Problem for the Best Approximation for Compact Body by a Ball of Fixed Radius
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2014
\vol 14
\issue 3
\pages 267--272
\mathnet{http://mi.mathnet.ru/isu509}
\crossref{https://doi.org/10.18500/1816-9791-2014-14-3-267-272}
\elib{https://elibrary.ru/item.asp?id=21967146}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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