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...

Teljes leírás

Elmentve itt :
Bibliográfiai részletek
Szerzők: Abbas Akhtar
Kórus Péter
Mubeen Shahid
Dokumentumtípus: Cikk
Megjelent: 2026
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
Leíró adatok
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.
Terjedelem/Fizikai jellemzők:35-48
ISSN:0252-1938