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Hermite–Hadamard-type inequalities for interval-valued preinvex functions via Riemann–Liouville fractional integrals

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posted on 2022-11-22, 21:18 authored by Nidhi Sharma, Sanjeev Kumar Singh, Shashi Kant Mishra, Abdelouahed Hamdi

In this paper, we introduce $(h_{1},h_{2})$ ( h 1 , h 2 ) -preinvex interval-valued function and establish the Hermite–Hadamard inequality for preinvex interval-valued functions by using interval-valued Riemann–Liouville fractional integrals. We obtain Hermite–Hadamard-type inequalities for the product of two interval-valued functions. Further, some examples are given to confirm our theoretical results.

Other Information

Published in: Journal of Inequalities and Applications
License: https://creativecommons.org/licenses/by/4.0
See article on publisher's website: http://dx.doi.org/10.1186/s13660-021-02623-w

History

Language

  • English

Publisher

Springer Science and Business Media LLC

Publication Year

  • 2021

Institution affiliated with

  • Qatar University

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