Hermite-Hadamard type inequalities via \((h,m)\)-convexity
In this paper, we establish a novel Hermite-Hadamard inequality for \((h,m)\)-convex functions using Riemann--Liouville fractional integral operators, right and left. Furthermore, some new Hermite--Hadamard type fractional integral inequalities are proved for differentiable functions whose first der...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
2026
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| Sorozat: | STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA
71 No. 1 |
| Tárgyszavak: | |
| doi: | 10.24193/subbmath.2026.1.03 |
| mtmt: | 37012859 |
| Online Access: | http://publicatio.bibl.u-szeged.hu/39694 |
| Tartalmi kivonat: | In this paper, we establish a novel Hermite-Hadamard inequality for \((h,m)\)-convex functions using Riemann--Liouville fractional integral operators, right and left. Furthermore, some new Hermite--Hadamard type fractional integral inequalities are proved for differentiable functions whose first derivative is \((h,m)\)-convex. We demonstrate that these newly established integral inequalities generalize some existing results. |
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| Terjedelem/Fizikai jellemzők: | 35-48 |
| ISSN: | 0252-1938 |