Statistic $D$-Property of Voronoi Summation Methods of Class $W_{Q^2}$
We propose a general method for obtaining Tauberian theorems with remainder for one class of Voronoi summation methods for double sequences of elements of a locally convex, linear topological space. This method is a generalization of the Davydov method of $C$-points.
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| Date: | 2003 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2003
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3910 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510043888156672 |
|---|---|
| author | Dekanov, S. Ya. Деканов, С. Я. |
| author_facet | Dekanov, S. Ya. Деканов, С. Я. |
| author_sort | Dekanov, S. Ya. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:15:23Z |
| description | We propose a general method for obtaining Tauberian theorems with remainder for one class of Voronoi summation methods for double sequences of elements of a locally convex, linear topological space. This method is a generalization of the Davydov method of $C$-points. |
| first_indexed | 2026-03-24T02:50:44Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-3910 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:50:44Z |
| publishDate | 2003 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/d9/4036b7541d87969a4046448eb4f51ad9.pdf |
| spelling | umjimathkievua-article-39102020-03-18T20:15:23Z Statistic $D$-Property of Voronoi Summation Methods of Class $W_{Q^2}$ Статистична $D$-властивість методів підсумовування Вороного класу $W_{Q^2}$ Dekanov, S. Ya. Деканов, С. Я. We propose a general method for obtaining Tauberian theorems with remainder for one class of Voronoi summation methods for double sequences of elements of a locally convex, linear topological space. This method is a generalization of the Davydov method of $C$-points. Запропоновано загальний метод одержання тауберових теорем із залишком для певного класу методів Вороного підсумовування подвійних послідовностей елементів локально опуклого лінійного топологічного простору, що узагальнює метод $C$-точок М. О. Давидова. Institute of Mathematics, NAS of Ukraine 2003-03-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3910 Ukrains’kyi Matematychnyi Zhurnal; Vol. 55 No. 3 (2003); 360-372 Український математичний журнал; Том 55 № 3 (2003); 360-372 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/3910/4535 https://umj.imath.kiev.ua/index.php/umj/article/view/3910/4536 Copyright (c) 2003 Dekanov S. Ya. |
| spellingShingle | Dekanov, S. Ya. Деканов, С. Я. Statistic $D$-Property of Voronoi Summation Methods of Class $W_{Q^2}$ |
| title | Statistic $D$-Property of Voronoi Summation Methods of Class $W_{Q^2}$ |
| title_alt | Статистична $D$-властивість методів підсумовування Вороного класу $W_{Q^2}$ |
| title_full | Statistic $D$-Property of Voronoi Summation Methods of Class $W_{Q^2}$ |
| title_fullStr | Statistic $D$-Property of Voronoi Summation Methods of Class $W_{Q^2}$ |
| title_full_unstemmed | Statistic $D$-Property of Voronoi Summation Methods of Class $W_{Q^2}$ |
| title_short | Statistic $D$-Property of Voronoi Summation Methods of Class $W_{Q^2}$ |
| title_sort | statistic $d$-property of voronoi summation methods of class $w_{q^2}$ |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3910 |
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