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

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Summary

Introduction

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].

Results
Conclusion

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