Hermite–Hadamard Type Inequalities for Interval-Valued Preinvex Functions via Fractional Integral Operators

Author:

Srivastava Hari MohanORCID,Sahoo Soubhagya Kumar,Mohammed Pshtiwan OthmanORCID,Baleanu Dumitru,Kodamasingh Bibhakar

Abstract

AbstractIn this article, the notion of interval-valued preinvex functions involving the Riemann–Liouville fractional integral is described. By applying this, some new refinements of the Hermite–Hadamard inequality for the fractional integral operator are presented. Some novel special cases of the presented results are discussed as well. Also, some examples are presented to validate our results. The established outcomes of our article may open another direction for different types of integral inequalities for fractional interval-valued functions, fuzzy interval-valued functions, and their associated optimization problems.

Publisher

Springer Science and Business Media LLC

Subject

Computational Mathematics,General Computer Science

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