New Extensions of the Hermite­-Hadamard Inequalities based on ψ-­Hilfer Fractional Integrals

한국수학교육학회지시리즈B:순수및응용수학 / 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). . 한국수학교육학회지시리즈B:순수및응용수학, 31(3), 311-324, https://doi.org/10.7468/jksmeb.2024.31.3.311

복사

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.

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논문 상세

Vol.31 No.3

New Extensions of the Hermite­-Hadamard Inequalities based on ψ-­Hilfer Fractional Integrals

Abstract

한국수학교육학회지시리즈B:순수및응용수학

New Extensions of the Hermite-Hadamard Inequalities based on ψ-Hilfer Fractional Integrals