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

Zhiyue Zhang; Muhammad Aamir Ali; Hüseyin Budak; Mehmet Zeki Sarıkaya

doi:10.31801/cfsuasmas.754842

Research Article

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

Year 2020, Volume: 69 Issue: 2, 1428 - 1448, 31.12.2020

Zhiyue Zhang Muhammad Aamir Ali , Hüseyin Budak , Mehmet Zeki Sarıkaya

https://doi.org/10.31801/cfsuasmas.754842

Cited By: 4

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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