Hermite–Hadamard-Type Inequalities for Generalized Convex Functions via the Caputo-Fabrizio Fractional Integral Operator

Due to applications in almost every area of mathematics, the theory of convex and nonconvex functions becomes a hot area of research for many mathematicians. In the present research, we generalize the Hermite–Hadamard-type inequalities for p,h-convex functions. Moreover, we establish some new inequa...

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Auteurs principaux: Dong Zhang, Muhammad Shoaib Saleem, Thongchai Botmart, M. S. Zahoor, R. Bano
Format: article
Langue:EN
Publié: Hindawi Limited 2021
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Accès en ligne:https://doaj.org/article/fc26ba8c4bef4aef89f69f82724cc4ab
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Résumé:Due to applications in almost every area of mathematics, the theory of convex and nonconvex functions becomes a hot area of research for many mathematicians. In the present research, we generalize the Hermite–Hadamard-type inequalities for p,h-convex functions. Moreover, we establish some new inequalities via the Caputo-Fabrizio fractional integral operator for p,h-convex functions. Finally, the applications of our main findings are also given.