Abstract
In this paper, we introduced some new integral inequalities of the Hermite–Hadamard type for functions whose second derivatives in absolute values at certain powers are strongly η -convex functions via the Katugampola fractional integrals.
Highlights
For more information about the Katugampola fractional integrals and related results, we refer the interested reader to the papers [19,20,21]
The following equality holds if the fractional integrals exist: i f + f
Four main results related to the Hermite–Hadamard inequality via the Katugampola fractional integrals involving strongly η-convex functions have been introduced
Summary
For some recent results related to the class of η-convex functions, we refer the interested reader to the papers [8,12,13,14,15,16]. For more information about the Katugampola fractional integrals and related results, we refer the interested reader to the papers [19,20,21].
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