Two theorems in the theory of summation of numerical series by lower triangular positive monotone matrices
For so-called monotone matrices, we establish necessary and sufficient conditions for the summation with them of some divergent sequences of 0 and 1 up to zero or some unbounded sequences of nonnegative numbers.
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| Date: | 1999 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1999
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4639 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510790569689088 |
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| author | Davydov, N. A. Давыдов, Н. А. Давыдов, Н. А. |
| author_facet | Davydov, N. A. Давыдов, Н. А. Давыдов, Н. А. |
| author_sort | Davydov, N. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:10:18Z |
| description | For so-called monotone matrices, we establish necessary and sufficient conditions for the summation with them of some divergent sequences of 0 and 1 up to zero or some unbounded sequences of nonnegative numbers. |
| first_indexed | 2026-03-24T03:02:36Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4639 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:02:36Z |
| publishDate | 1999 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/65/ce27a400450e0fe213e49935b1240665.pdf |
| spelling | umjimathkievua-article-46392020-03-18T21:10:18Z Two theorems in the theory of summation of numerical series by lower triangular positive monotone matrices Две теоремы из теории суммирования числовых рядов нижними треугольными положительными монотонными матрицами Davydov, N. A. Давыдов, Н. А. Давыдов, Н. А. For so-called monotone matrices, we establish necessary and sufficient conditions for the summation with them of some divergent sequences of 0 and 1 up to zero or some unbounded sequences of nonnegative numbers. Для так званих монотонних мачриць встановлено необхідні та достатні умови підсумовування ними до нуля деяких розбіжних послідовностей з 0 і 1 або деяких необмежених послідовностей невід'ємних чисел. Institute of Mathematics, NAS of Ukraine 1999-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4639 Ukrains’kyi Matematychnyi Zhurnal; Vol. 51 No. 4 (1999); 553-555 Український математичний журнал; Том 51 № 4 (1999); 553-555 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4639/5981 https://umj.imath.kiev.ua/index.php/umj/article/view/4639/5982 Copyright (c) 1999 Davydov N. A. |
| spellingShingle | Davydov, N. A. Давыдов, Н. А. Давыдов, Н. А. Two theorems in the theory of summation of numerical series by lower triangular positive monotone matrices |
| title | Two theorems in the theory of summation of numerical series by lower triangular positive monotone matrices |
| title_alt | Две теоремы из теории суммирования числовых рядов нижними треугольными положительными монотонными матрицами |
| title_full | Two theorems in the theory of summation of numerical series by lower triangular positive monotone matrices |
| title_fullStr | Two theorems in the theory of summation of numerical series by lower triangular positive monotone matrices |
| title_full_unstemmed | Two theorems in the theory of summation of numerical series by lower triangular positive monotone matrices |
| title_short | Two theorems in the theory of summation of numerical series by lower triangular positive monotone matrices |
| title_sort | two theorems in the theory of summation of numerical series by lower triangular positive monotone matrices |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4639 |
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