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Integral inequalities for n ‐polynomial s ‐type preinvex functions with applications

Saad Ihsan Butt, Hüseyin Budak, Muhammad Tariq, Muhammad Nadeem

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Source: Crossref

Published: May 12, 2021

DOI: 10.1002/mma.7465

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Source 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.

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Integral inequalities for n ‐polynomial s ‐type preinvex functions with applications — Mathematical Frontier Network