TY - JOUR
T1 - Exploring fractional integral inequalities through the lens of strongly h-convex functions
AU - Halim, Benali
AU - Adel, Benguessoum
AU - Souid, Mohammed Said
AU - Hammouch, Zakia
N1 - Publisher Copyright:
© The Author(s), under exclusive licence to King Fahd University of Petroleum and Minerals 2025.
PY - 2025
Y1 - 2025
N2 - This paper introduces the concept of strongly h-convex functions and investigates their properties. We apply a generalized fractional integral operator to strongly h-convex functions, establishing fractional integral inequalities. As special cases, we derive Riemann–Liouville and Hadamard type integral inequalities. These results demonstrate the originality and significance of our research. The research presented in the paper contributes to fractional calculus and convex analysis.
AB - This paper introduces the concept of strongly h-convex functions and investigates their properties. We apply a generalized fractional integral operator to strongly h-convex functions, establishing fractional integral inequalities. As special cases, we derive Riemann–Liouville and Hadamard type integral inequalities. These results demonstrate the originality and significance of our research. The research presented in the paper contributes to fractional calculus and convex analysis.
UR - https://www.scopus.com/pages/publications/105014157243
U2 - 10.1007/s40065-025-00556-6
DO - 10.1007/s40065-025-00556-6
M3 - Article
AN - SCOPUS:105014157243
SN - 2193-5343
JO - Arabian Journal of Mathematics
JF - Arabian Journal of Mathematics
ER -