On Hermite-Hadamard type inequalities for interval-valued multiplicative integrals

Abstract

In this work, we define multiplicative integrals for interval-valued functions. We establish some new Hermite-Hadamard type inequalities in the setting of interval-valued multiplicative calculus and give some examples to illustrate our main results. We also discuss special cases of our main results which are the extension of already established results.

Keywords

• Convex functions
• logarithmically convex function
• interval-valued functions
• multiplicative integral operator
• Hermite-Hadamard inequalities

Supporting Institution

This Project is partially supported by the National Natural Science Foundation of China

Project Number

11971241

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