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

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Date

2022

Authors

Srivastava, Hari Mohan
Sahoo, Soubhagya Kumar
Mohammed, Pshtiwan Othman
Baleanu, Dumitru
Kodamasingh, Bibhakar

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Abstract

In 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.

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Fractional Integral Inequalities, H–H Inequalities, Interval-Valued Functions, Preinvex Functions, R–L Fractional Integral

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Srivastava, Hari Mohan;...et.al. (2022). "Hermite–Hadamard Type Inequalities for Interval-Valued Preinvex Functions via Fractional Integral Operators", International Journal of Computational Intelligence Systems, Vol.15, No.1.

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International Journal of Computational Intelligence Systems

Volume

15

Issue

1

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