Weighted discrete Hardy's inequalities
UDC 517.5 We give a short proof of a weighted version of the discrete Hardy inequality. This includes the known case of classical monomial weights with optimal constant. The proof is based on the ideas of the short direct proof given recently in [P. Lefèvre, Arch. Math. (Ba...
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| Datum: | 2023 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Institute of Mathematics, NAS of Ukraine
2023
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/7201 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512628972978176 |
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| author | Lefèvre, Pascal Lefèvre, Pascal |
| author_facet | Lefèvre, Pascal Lefèvre, Pascal |
| author_sort | Lefèvre, Pascal |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2023-08-15T15:57:32Z |
| description | UDC 517.5
We give a short proof of a weighted version of the discrete Hardy inequality. This includes the known case of classical monomial weights with optimal constant. The proof is based on the ideas of the short direct proof given recently in [P. Lefèvre, Arch. Math. (Basel), 114, № 2, 195–198 (2020)]. |
| doi_str_mv | 10.37863/umzh.v75i7.7201 |
| first_indexed | 2026-03-24T03:31:49Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-7201 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:31:49Z |
| publishDate | 2023 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-72012023-08-15T15:57:32Z Weighted discrete Hardy's inequalities Weighted discrete Hardy's inequalities Lefèvre, Pascal Lefèvre, Pascal Hardy's inequality, Cesàro mean, weight. 40G05 UDC 517.5 We give a short proof of a weighted version of the discrete Hardy inequality. This includes the known case of classical monomial weights with optimal constant. The proof is based on the ideas of the short direct proof given recently in [P. Lefèvre, Arch. Math. (Basel), 114, № 2, 195–198 (2020)]. УДК 517.5 Зважені дискретні нерівності Гарді Запропоновано коротке доведення зваженої версії дискретної нерівності Гарді, яке включає відомий випадок класичних мономіальних ваг з оптимальною сталою. Доведення спирається на ідеї короткого прямого доведення, що було нещодавно наведено в роботі [P. Lefèvre, Arch. Math. (Basel), 114, № 2, 195–198 (2020)]. Institute of Mathematics, NAS of Ukraine 2023-07-25 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/7201 10.37863/umzh.v75i7.7201 Ukrains’kyi Matematychnyi Zhurnal; Vol. 75 No. 7 (2023); 1009 - 1012 Український математичний журнал; Том 75 № 7 (2023); 1009 - 1012 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/7201/9758 Copyright (c) 2023 Pascal Lefèvre |
| spellingShingle | Lefèvre, Pascal Lefèvre, Pascal Weighted discrete Hardy's inequalities |
| title | Weighted discrete Hardy's inequalities |
| title_alt | Weighted discrete Hardy's inequalities |
| title_full | Weighted discrete Hardy's inequalities |
| title_fullStr | Weighted discrete Hardy's inequalities |
| title_full_unstemmed | Weighted discrete Hardy's inequalities |
| title_short | Weighted discrete Hardy's inequalities |
| title_sort | weighted discrete hardy's inequalities |
| topic_facet | Hardy's inequality Cesàro mean weight. 40G05 |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/7201 |
| work_keys_str_mv | AT lefevrepascal weighteddiscretehardy039sinequalities AT lefevrepascal weighteddiscretehardy039sinequalities |