Integral inequalities for n‐polynomial s‐type preinvex functions with applications. (12th May 2021)

• Record Type: Journal Article
• Authors: Ihsan Butt, Saad; Budak, Hüseyin; Tariq, Muhammad; Nadeem, Muhammad
• Is Part Of: Mathematical methods in the applied sciences. Volume 44:Number 14(2021)
• Page Start: 11006
• Page End: 11021
• Publication Date: 2021-05-12
• Subjects: Hölder's inequality -- Hölder–Íscan inequality -- improved power mean integral inequality -- n‐polynomial s‐type preinvexity -- preinvex function -- s‐type preinvexity; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.7465
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : In this present paper, we introduce the idea and concept of n ‐polynomial s ‐type preinvex functions. We elaborate and investigate the algebraic properties of the newly introduced definition and discuss their connections and relations with convex functions. We find the new sort of Hermite–Hadamard inequality via a newly introduced definition. Furthermore, some refinements of Hermite–Hadamard inequality are given. Finally, we investigated some applications via this newly introduced definition. The results obtained in this paper can be viewed as significant improvement of previously known results.