Refinements of local fractional Hilbert-type inequalities
UDC 517.5 We study the re nements of several well-known local fractional Hilbert-type inequalities by interpolating the Lebesgue norms of the local fractional Laplace transforms of the functions involved in the inequalities. As an application, the main results are compared with some our res...
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| Datum: | 2026 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Institute of Mathematics, NAS of Ukraine
2026
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/6429 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512362098851840 |
|---|---|
| author | Vuković, P. Vuković, P. |
| author_facet | Vuković, P. Vuković, P. |
| author_sort | Vuković, P. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2026-02-23T13:26:43Z |
| description |
UDC 517.5
We study the re nements of several well-known local fractional Hilbert-type inequalities by interpolating the Lebesgue norms of the local fractional Laplace transforms of the functions involved in the inequalities. As an application, the main results are compared with some our results previously known from the literature.
|
| doi_str_mv | 10.37863/umzh.v74i11.6429 |
| first_indexed | 2026-03-24T03:27:35Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-6429 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:27:35Z |
| publishDate | 2026 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/5a/3f349f952692476542d9b002e889905a |
| spelling | umjimathkievua-article-64292026-02-23T13:26:43Z Refinements of local fractional Hilbert-type inequalities Refinements of local fractional Hilbert-type inequalities Vuković, P. Vuković, P. HILBERT-TYPE INEQUALITIES UDC 517.5 We study the re nements of several well-known local fractional Hilbert-type inequalities by interpolating the Lebesgue norms of the local fractional Laplace transforms of the functions involved in the inequalities. As an application, the main results are compared with some our results previously known from the literature. УДК 517.5 Уточнення локальних дробових нерiвностей типу Гiльберта Досліджується уточнення кількох відомих локальних дробових нерівностей типу Гільберта  шляхом інтерполяції норм Лебега локальних дробових перетворень Лапласа функцій, що входять в ці нерівності.  Як застосування, основні результати роботи порівнюються з деякими нашими результатами, опублікованими раніше.  Institute of Mathematics, NAS of Ukraine 2026-02-22 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/6429 10.37863/umzh.v74i11.6429 Ukrains’kyi Matematychnyi Zhurnal; Vol. 74 No. 11 (2022); 1454 - 1462 Український математичний журнал; Том 74 № 11 (2022); 1454 - 1462 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/6429/9326 Copyright (c) 2022 Predrag Vuković |
| spellingShingle | Vuković, P. Vuković, P. Refinements of local fractional Hilbert-type inequalities |
| title | Refinements of local fractional Hilbert-type inequalities |
| title_alt | Refinements of local fractional Hilbert-type inequalities |
| title_full | Refinements of local fractional Hilbert-type inequalities |
| title_fullStr | Refinements of local fractional Hilbert-type inequalities |
| title_full_unstemmed | Refinements of local fractional Hilbert-type inequalities |
| title_short | Refinements of local fractional Hilbert-type inequalities |
| title_sort | refinements of local fractional hilbert-type inequalities |
| topic_facet | HILBERT-TYPE INEQUALITIES |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/6429 |
| work_keys_str_mv | AT vukovicp refinementsoflocalfractionalhilberttypeinequalities AT vukovicp refinementsoflocalfractionalhilberttypeinequalities |