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

Authors : Zhiyue ZHANG, Muhammad Aamir ALİ, Hüseyin BUDAK, Mehmet Zeki SARIKAYA

Pages : 1428-1448

Doi:10.31801/cfsuasmas.754842

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Publication Date : 2020-12-31

Article Type : Research Paper

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