Some refinements of the Hermite–Hadamard inequality with the help of weighted integrals
UDC 517.5 By using the definition of modified  $(h,m, s)$-convex functions of the second type, we present various refinements of the classical Hermite–Hadamard inequality obtained  within the framework of weighted integrals. Throughout the paper, we show that v...
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| Date: | 2023 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Institute of Mathematics, NAS of Ukraine
2023
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/7126 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512606957076480 |
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| author | Bayraktar, B. Nápoles, J. E. Rabossi, F. Bayraktar, B. Nápoles, J. E. Rabossi, F. |
| author_facet | Bayraktar, B. Nápoles, J. E. Rabossi, F. Bayraktar, B. Nápoles, J. E. Rabossi, F. |
| author_sort | Bayraktar, B. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2023-07-12T15:24:44Z |
| description | UDC 517.5
By using the definition of modified  $(h,m, s)$-convex functions of the second type, we present various refinements of the classical Hermite–Hadamard inequality obtained  within the framework of weighted integrals. Throughout the paper, we show that various known results available from the literature can be obtained as particular cases of our results. |
| doi_str_mv | 10.37863/umzh.v75i6.7126 |
| first_indexed | 2026-03-24T03:31:28Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-7126 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:31:28Z |
| publishDate | 2023 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-71262023-07-12T15:24:44Z Some refinements of the Hermite–Hadamard inequality with the help of weighted integrals Some refinements of the Hermite–Hadamard inequality with the help of weighted integrals Bayraktar, B. Nápoles, J. E. Rabossi, F. Bayraktar, B. Nápoles, J. E. Rabossi, F. Hermite-Hadamard integral inequality integral operators weighted (h,m)-convex modified functions 517.9 UDC 517.5 By using the definition of modified  $(h,m, s)$-convex functions of the second type, we present various refinements of the classical Hermite–Hadamard inequality obtained  within the framework of weighted integrals. Throughout the paper, we show that various known results available from the literature can be obtained as particular cases of our results. УДК 517.5 Деякі уточнення нерівності Ерміта–Адамара за допомогою вагових інтегралів За допомогою визначення $(h,m, s)$-опуклих модифікованих функцій другого типу отримано різні уточнення класичної нерівності Ерміта–Адамара в термінах вагових інтегралів.  Показано, що різні  результати, відомі з літератури, можна отримати як часткові випадки наших результатів. Institute of Mathematics, NAS of Ukraine 2023-06-20 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/7126 10.37863/umzh.v75i6.7126 Ukrains’kyi Matematychnyi Zhurnal; Vol. 75 No. 6 (2023); 736 - 752 Український математичний журнал; Том 75 № 6 (2023); 736 - 752 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/7126/9760 Copyright (c) 2023 Bahtiyar Bayraktar, Juan Eduardo Napoles, Florencia Rabossi |
| spellingShingle | Bayraktar, B. Nápoles, J. E. Rabossi, F. Bayraktar, B. Nápoles, J. E. Rabossi, F. Some refinements of the Hermite–Hadamard inequality with the help of weighted integrals |
| title | Some refinements of the Hermite–Hadamard inequality with the help of weighted integrals |
| title_alt | Some refinements of the Hermite–Hadamard inequality with the help of weighted integrals |
| title_full | Some refinements of the Hermite–Hadamard inequality with the help of weighted integrals |
| title_fullStr | Some refinements of the Hermite–Hadamard inequality with the help of weighted integrals |
| title_full_unstemmed | Some refinements of the Hermite–Hadamard inequality with the help of weighted integrals |
| title_short | Some refinements of the Hermite–Hadamard inequality with the help of weighted integrals |
| title_sort | some refinements of the hermite–hadamard inequality with the help of weighted integrals |
| topic_facet | Hermite-Hadamard integral inequality integral operators weighted (h,m)-convex modified functions 517.9 |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/7126 |
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