Several statements for convex functions
For the setM of convex-downward functions Ψ (•) vanishing at infinity, we present its decomposition into subsets with respect to the behavior of special characteristics η (Ψ;•) and μ(Ψ;•) of these functions. We study geometric and analytic properties of the elements of the subsets obtained, which ar...
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| Date: | 1999 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
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Institute of Mathematics, NAS of Ukraine
1999
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4654 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510811346173952 |
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| author | Stepanets, O. I. Степанец, А. И. Степанец, А. И. |
| author_facet | Stepanets, O. I. Степанец, А. И. Степанец, А. И. |
| author_sort | Stepanets, O. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:10:38Z |
| description | For the setM of convex-downward functions Ψ (•) vanishing at infinity, we present its decomposition into subsets with respect to the behavior of special characteristics η (Ψ;•) and μ(Ψ;•) of these functions. We study geometric and analytic properties of the elements of the subsets obtained, which are necessary for the investigation of problems of the theory of approximation for classes of convolutions. |
| first_indexed | 2026-03-24T03:02:56Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4654 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:02:56Z |
| publishDate | 1999 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/a8/b83e8ebb7d60e88e479ce30f73d8f3a8.pdf |
| spelling | umjimathkievua-article-46542020-03-18T21:10:38Z Several statements for convex functions Несколько утверждений для выпуклых функций Stepanets, O. I. Степанец, А. И. Степанец, А. И. For the setM of convex-downward functions Ψ (•) vanishing at infinity, we present its decomposition into subsets with respect to the behavior of special characteristics η (Ψ;•) and μ(Ψ;•) of these functions. We study geometric and analytic properties of the elements of the subsets obtained, which are necessary for the investigation of problems of the theory of approximation for classes of convolutions. Наведено розбиття множини опуклих донизу функцій $Ψ (•)$, що зникають на нескінченності, на підмпожини за поведінкою їх спеціальних характеристик $η (Ψ;•)$ та $μ(Ψ;•)$. Вивчаються геометричні та аналітичні властивості елементів цих підмножин, які потрібні при розгляді задач теорії наближень для класів згорток. Institute of Mathematics, NAS of Ukraine 1999-05-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4654 Ukrains’kyi Matematychnyi Zhurnal; Vol. 51 No. 5 (1999); 688–702 Український математичний журнал; Том 51 № 5 (1999); 688–702 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4654/6010 https://umj.imath.kiev.ua/index.php/umj/article/view/4654/6011 Copyright (c) 1999 Stepanets O. I. |
| spellingShingle | Stepanets, O. I. Степанец, А. И. Степанец, А. И. Several statements for convex functions |
| title | Several statements for convex functions |
| title_alt | Несколько утверждений для выпуклых функций |
| title_full | Several statements for convex functions |
| title_fullStr | Several statements for convex functions |
| title_full_unstemmed | Several statements for convex functions |
| title_short | Several statements for convex functions |
| title_sort | several statements for convex functions |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4654 |
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