Hermite-Hadamard type inequalities pertaining conformable fractional integrals and their applications
Source abstract
Abstract
In this paper, our main aim is to give results for conformable fractional integral version of Hermite-Hadamard inequality and their applications for mid-point formula and means. First, we prove an identity associated with the Hermite-Hadamard inequality for conformable fractional integrals. By using this identity and convexity of different classes of functions and some well-known inequalities, we obtain several results for the inequality. At the end, we also present applications for some error estimations of the mid-point formula and means. The results obtained in this paper generalize the earlier results. Furthermore, the identity can be used to obtain results for Hermite-Hadamard inequality for some other generalized classes of convex functions.
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Research context
OpenAlex topics: Mathematical Inequalities and Applications · Mathematical functions and polynomials · Fractional Differential Equations Solutions
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Affiliations
Department of Mathematics, University of Peshawar 1 , Peshawar 25000, Pakistan
Department of Mathematics, Huzhou University 2 , 313000 Huzhou, China
Department of Mathematics, Faculty of Technical Science, University Ismail Qemali of Vlora 3 , Vlora 9400, Albania
References (14)
Show source-provided references
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