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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| Datum: | 2023 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2023
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/7126 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | 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. |
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| DOI: | 10.37863/umzh.v75i6.7126 |