Weighted Hermite–Hadamard integral inequalities for general convex functions
<abstract><p>In this article, starting with an equation for weighted integrals, we obtained several extensions of the well-known Hermite–Hadamard inequality. We used generalized weighted integral operators, which contain the Riemann–Liouville and the -Riemann–Liouville fractional integra...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
2023
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| Sorozat: | MATHEMATICAL BIOSCIENCES AND ENGINEERING
20 No. 11 |
| Tárgyszavak: | |
| doi: | 10.3934/mbe.2023882 |
| mtmt: | 34240608 |
| Online Access: | http://publicatio.bibl.u-szeged.hu/37071 |
| Tartalmi kivonat: | <abstract><p>In this article, starting with an equation for weighted integrals, we obtained several extensions of the well-known Hermite–Hadamard inequality. We used generalized weighted integral operators, which contain the Riemann–Liouville and the -Riemann–Liouville fractional integral operators. The functions for which the operators were considered satisfy various conditions such as the -convexity, modified -convexity and -convexity.</p></abstract> |
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| Terjedelem/Fizikai jellemzők: | 19929-19940 |
| ISSN: | 1547-1063 |