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Hermite-Hadamard-type inequalities for generalized convex functions via the Caputo-Fabrizio fractional integral operator - MaRDI portal

Hermite-Hadamard-type inequalities for generalized convex functions via the Caputo-Fabrizio fractional integral operator (Q2064423)

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scientific article; zbMATH DE number 7452488
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Hermite-Hadamard-type inequalities for generalized convex functions via the Caputo-Fabrizio fractional integral operator
scientific article; zbMATH DE number 7452488

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    Hermite-Hadamard-type inequalities for generalized convex functions via the Caputo-Fabrizio fractional integral operator (English)
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    5 January 2022
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    Summary: 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.
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