Hermite-Hadamard-Type Fractional Inclusions for Interval-Valued Preinvex Functions

Kin Keung Lai, Jaya Bisht, Nidhi Sharma and Shashi Kant Mishra
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Kin Keung Lai: International Business School, Shaanxi Normal University, Xi’an 710119, China
Jaya Bisht: Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi 221005, India
Nidhi Sharma: Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi 221005, India
Shashi Kant Mishra: Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi 221005, India

Mathematics, 2022, vol. 10, issue 2, 1-16

Abstract: We introduce a new class of interval-valued preinvex functions termed as harmonically h -preinvex interval-valued functions. We establish new inclusion of Hermite–Hadamard for harmonically h -preinvex interval-valued function via interval-valued Riemann–Liouville fractional integrals. Further, we prove fractional Hermite–Hadamard-type inclusions for the product of two harmonically h -preinvex interval-valued functions. In this way, these findings include several well-known results and newly obtained results of the existing literature as special cases. Moreover, applications of the main results are demonstrated by presenting some examples.

Keywords: Hermite–Hadamard inequalities; harmonical convex functions; interval-valued functions; fractional integrals (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations: View citations in EconPapers (5)

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