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ISSN : 1226-0657

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Vol.31 No.3
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New Extensions of the Hermite­-Hadamard Inequalities based on ψ-­Hilfer Fractional Integrals

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2024, v.31 no.3, pp.311-324
https://doi.org/10.7468/jksmeb.2024.31.3.311
Hüseyin Budak (Düzce University)
Umut Baş (Kahramanmaraş Sütccü Imam University)
Hasan Kara (Duzce University)
Mohammad Esmael Samei (Bu-Ali Sina University)
Hüseyin, B. , Umut, B. , Hasan, K. , & Mohammad, E. S. (2024). New Extensions of the Hermite­-Hadamard Inequalities based on ψ-­Hilfer Fractional Integrals. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 31(3), 311-324, https://doi.org/10.7468/jksmeb.2024.31.3.311
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Abstract

This article presents the above and below bounds for Midpoint and Trapezoid types inequalities for ψ-Hilfer fractional integrals with the assistance of the functions whose second derivatives are bounded. We also possess some extensions and generalizations of Hermite–Hadamard inequalities via ψ-Hilfer fractional integrals with the aid of the functions that have the conditions that will said.

keywords
Hermite-Hadamard inequality, ψ-Hilfer fractional integrals, bounded functions.

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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