Abstract:
In this work, we present a new Hermite-Hadamard inequality which is associated with
Hadamard-type integral with respect to another function. This fractional integral is
the generalization of fractional integral with respect to another function, Hadamard-type
fractional integral, Hadamard fractional integral, Tempered fractional integral, Katugam-
pola fractional integral and Riemann-Liouville fractional integral. The main signi cance
of the inequality is that it contains Hermite-Hadamard inequalities for many fractional
integrals as special cases. Generalized result of Hermite-Hadamard type inequality for
fractional integral with respect to another function is also established.
