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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Citation
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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Source
International Journal of Computational Intelligence Systems
Volume
15
Issue
1