Extension of Hermite-Hadamard type inequalities to Katugampola fractional integrals

Das, Dipak Kr
Mishra, Shashi Kant
Kumar, Pankaj
Hamdi, Abdelouahed

International Journal of Advances in Applied Sciences
Vol 15, No 1: March 2026

In this study, we introduce several new Hermite-Hadamard type general integral inequalities for exponentially (s,m)-convex functions via Katugampola fractional integral. The Katugampola fractional integral is a broader form of the Riemann–Liouville and Hadamard fractional integrals. We utilized the power mean integral inequality, the H¨older inequality and a few additional generalizations to derive these inequalities. Numerous limiting results are derived from the main results presented in the remarks. Furthermore, we provide an example illustrating our theoretical findings, supported by a graphical representation.