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

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  • Zareen A. Khan
  • Waqar Afzal
  • Mujahid Abbas
  • Kwara Nantomah

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.

Suggested Citation

  • Zareen A. Khan & Waqar Afzal & Mujahid Abbas & Kwara Nantomah, 2025. "Some Novel Inequalities for Godunova–Levin Preinvex Functions via Interval Set Inclusion ⊆ Relation," Journal of Mathematics, Hindawi, vol. 2025, pages 1-15, January.
    • Handle: RePEc:hin:jjmath:5570638
    DOI: 10.1155/jom/5570638
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