Some Novel Inequalities for Godunova–Levin Preinvex Functions via Interval Set Inclusion ⊆ Relation
In this note, we introduce the concept of ℏ-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 substitu...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2025-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/jom/5570638 |
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| author | Zareen A. Khan Waqar Afzal Mujahid Abbas Kwara Nantomah |
| author_facet | Zareen A. Khan Waqar Afzal Mujahid Abbas Kwara Nantomah |
| author_sort | Zareen A. Khan |
| collection | DOAJ |
| description | In this note, we introduce the concept of ℏ-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. |
| format | Article |
| id | doaj-art-4539eefbd6fb423491021d62935b479f |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-4539eefbd6fb423491021d62935b479f2025-02-04T00:00:01ZengWileyJournal of Mathematics2314-47852025-01-01202510.1155/jom/5570638Some Novel Inequalities for Godunova–Levin Preinvex Functions via Interval Set Inclusion ⊆ RelationZareen A. Khan0Waqar Afzal1Mujahid Abbas2Kwara Nantomah3Department of Mathematical SciencesDepartment of MathematicsDepartment of Medical ResearchDepartment of MathematicsIn this note, we introduce the concept of ℏ-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.http://dx.doi.org/10.1155/jom/5570638 |
| spellingShingle | Zareen A. Khan Waqar Afzal Mujahid Abbas Kwara Nantomah Some Novel Inequalities for Godunova–Levin Preinvex Functions via Interval Set Inclusion ⊆ Relation Journal of Mathematics |
| title | Some Novel Inequalities for Godunova–Levin Preinvex Functions via Interval Set Inclusion ⊆ Relation |
| title_full | Some Novel Inequalities for Godunova–Levin Preinvex Functions via Interval Set Inclusion ⊆ Relation |
| title_fullStr | Some Novel Inequalities for Godunova–Levin Preinvex Functions via Interval Set Inclusion ⊆ Relation |
| title_full_unstemmed | Some Novel Inequalities for Godunova–Levin Preinvex Functions via Interval Set Inclusion ⊆ Relation |
| title_short | Some Novel Inequalities for Godunova–Levin Preinvex Functions via Interval Set Inclusion ⊆ Relation |
| title_sort | some novel inequalities for godunova levin preinvex functions via interval set inclusion ⊆ relation |
| url | http://dx.doi.org/10.1155/jom/5570638 |
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