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http://hdl.handle.net/11701/39311
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Поле DC | Значение | Язык |
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dc.contributor.author | Polyakova, Lyudmila N. | - |
dc.date.accessioned | 2023-03-14T14:44:12Z | - |
dc.date.available | 2023-03-14T14:44:12Z | - |
dc.date.issued | 2022-12 | - |
dc.identifier.citation | Polyakova, L. N. (2023). Smooth approximations of nonsmooth convex functions. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 18(4), 535-547. | en_GB |
dc.identifier.other | https://doi.org/10.21638/11701/spbu10.2022.408 | - |
dc.identifier.uri | http://hdl.handle.net/11701/39311 | - |
dc.description.abstract | For an arbitrary convex function, using the infimal convolution operation, a family of continuously differentiable convex functions approximating it is constructed. The constructed approximating family of smooth convex functions Kuratowski converges to the function under consideration. If the domain of the considered function is compact, then such smooth convex approximations are uniform in the Chebyshev metric. The approximation of a convex set by a family of smooth convex sets is also considered. | en_GB |
dc.language.iso | en | en_GB |
dc.publisher | St Petersburg State University | en_GB |
dc.relation.ispartofseries | Vestnik of St Petersburg University. Applied Mathematics. Computer Science. Control Processes;Volume 18; Issue 4 | - |
dc.subject | set-valued mapping | en_GB |
dc.subject | semicontinuous mapping | en_GB |
dc.subject | conjugate function | en_GB |
dc.subject | Kuratowski converge | en_GB |
dc.subject | infimal convolution operation | en_GB |
dc.subject | smooth approximation | en_GB |
dc.title | Smooth approximations of nonsmooth convex functions | en_GB |
dc.type | Article | en_GB |
Располагается в коллекциях: | Issue 4 |
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15529-Текст статьи-52261-1-10-20230308.pdf | 568,32 kB | Adobe PDF | Просмотреть/Открыть |
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