HERMITE-HADAMARD TYPE INEQUALITIES FOR CONFORMABLE INTEGRALS VIA η-CONVEX FUNCTIONS

Yousaf Khurshid, Mohammad Adil Khan

DOI Number
https://doi.org/10.22190/FUMI220914005K
First page
077
Last page
090

Abstract


Many recent results have been. This inequality has many applications in the area of pure and applied mathematics. In this paper, our main aim is to give results for conformable integral version of Hermite-Hadamard inequality for η-convex functions. First, we prove an identity associated with the Hermite-Hadamard inequality for conformable integrals using η-convex functions. By using this identity and η-convexity of function and some well-known inequalities, we obtain several results for the inequality.


Keywords

η-convex functions, Hermite-Hadamard inequality, Conformable derivative, Conformable integrals

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DOI: https://doi.org/10.22190/FUMI220914005K

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