Some Novel Inequalities for Godunova–Levin Preinvex Functions via Interval Set Inclusion ⊆ Relation

Zareen A. Khan, Waqar Afzal, Mujahid Abbas and Kwara Nantomah

Journal of Mathematics, 2025, vol. 2025, 1-15

Abstract: In this note, we introduce the concept of ℠-Godunova–Levin interval-valued preinvex functions. As a result of these novel notions, we have developed several variants of Hermite–Hadamard and Fejér-type inequalities under inclusion order relations. Furthermore, we demonstrate through suitable substitutions that this type of convexity unifies a variety of other convex classes. To further support our main findings, we formulated several remarks and nontrivial examples.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:5570638

DOI: 10.1155/jom/5570638

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