Optimal matching parameters of the inverse Hilbert-type integral inequality with quasihomogeneous kernels and their applications
UDC 517.9 By using the inverse Hölder inequality and the weight function method, we establish the inverse Hilbert-type integral inequality. In the case of a quasihomogeneous kernel, we obtain the necessary and sufficient conditions for the optimal matching parameters. Final...
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| Дата: | 2024 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2024
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/7366 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512658724225024 |
|---|---|
| author | Hong, Yong Feng, Mingjun He, Bing Hong, Yong Feng, Mingjun He, Bing |
| author_facet | Hong, Yong Feng, Mingjun He, Bing Hong, Yong Feng, Mingjun He, Bing |
| author_sort | Hong, Yong |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-06-19T00:35:27Z |
| description | UDC 517.9
By using the inverse Hölder inequality and the weight function method, we establish the inverse Hilbert-type integral inequality. In the case of a quasihomogeneous kernel, we obtain the necessary and sufficient conditions for the optimal matching parameters. Finally, their applications in the operator theory are discussed. |
| doi_str_mv | 10.3842/umzh.v74i4.7366 |
| first_indexed | 2026-03-24T03:32:17Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-7366 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:32:17Z |
| publishDate | 2024 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-73662024-06-19T00:35:27Z Optimal matching parameters of the inverse Hilbert-type integral inequality with quasihomogeneous kernels and their applications Optimal matching parameters of the inverse Hilbert-type integral inequality with quasihomogeneous kernels and their applications Hong, Yong Feng, Mingjun He, Bing Hong, Yong Feng, Mingjun He, Bing Inverse Hilbert type integral inequality; Quasi-homogeneous kernel; Optimal matching parameter; Integral operator UDC 517.9 By using the inverse Hölder inequality and the weight function method, we establish the inverse Hilbert-type integral inequality. In the case of a quasihomogeneous kernel, we obtain the necessary and sufficient conditions for the optimal matching parameters. Finally, their applications in the operator theory are discussed. УДК 517.9 Оптимальні параметри узгодження оберненої інтегральної нерівності типу Гільберта з квазіоднорідними ядрами та їх застосування За допомогою оберненої нерівності Гельдера та методу вагової функції встановлено обернену інтегральну нерівність типу Гільберта. У випадку квазіоднорідного ядра отримано необхідні та достатні умови для оптимальних параметрів узгодження. Насамкінець обговорено їх застосування в теорії операторів. Institute of Mathematics, NAS of Ukraine 2024-04-26 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/7366 10.3842/umzh.v74i4.7366 Ukrains’kyi Matematychnyi Zhurnal; Vol. 76 No. 4 (2024); 617 - 628 Український математичний журнал; Том 76 № 4 (2024); 617 - 628 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/7366/9921 Copyright (c) 2024 Bing He |
| spellingShingle | Hong, Yong Feng, Mingjun He, Bing Hong, Yong Feng, Mingjun He, Bing Optimal matching parameters of the inverse Hilbert-type integral inequality with quasihomogeneous kernels and their applications |
| title | Optimal matching parameters of the inverse Hilbert-type integral inequality with quasihomogeneous kernels and their applications |
| title_alt | Optimal matching parameters of the inverse Hilbert-type integral inequality with quasihomogeneous kernels and their applications |
| title_full | Optimal matching parameters of the inverse Hilbert-type integral inequality with quasihomogeneous kernels and their applications |
| title_fullStr | Optimal matching parameters of the inverse Hilbert-type integral inequality with quasihomogeneous kernels and their applications |
| title_full_unstemmed | Optimal matching parameters of the inverse Hilbert-type integral inequality with quasihomogeneous kernels and their applications |
| title_short | Optimal matching parameters of the inverse Hilbert-type integral inequality with quasihomogeneous kernels and their applications |
| title_sort | optimal matching parameters of the inverse hilbert-type integral inequality with quasihomogeneous kernels and their applications |
| topic_facet | Inverse Hilbert type integral inequality Quasi-homogeneous kernel Optimal matching parameter Integral operator |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/7366 |
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