On New Fractional Version of Generalized Hermite-Hadamard Inequalities

Abd-Allah Hyder (), Areej A. Almoneef, Hüseyin Budak () and Mohamed A. Barakat
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Abd-Allah Hyder: Department of Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi Arabia
Areej A. Almoneef: Department of Mathematical Sciences, College of Science, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia
Hüseyin Budak: Department of Mathematics, Faculty of Science and Arts, Düzce University, Düzce 81620, Turkey
Mohamed A. Barakat: Department of Computer Science, College of Al Wajh, University of Tabuk, Tabuk 71491, Saudi Arabia

Mathematics, 2022, vol. 10, issue 18, 1-15

Abstract: In this study, we establish a novel version of Hermite-Hadamard inequalities through neoteric generalized Riemann-Liouville fractional integrals (RLFIs). For functions with the convex absolute values of derivatives, we create a variety of midpoint and trapezoid form inequalities, including the generalized RLFIs. Moreover, multiple fractional inequalities can be produced as special cases of the findings of this study.

Keywords: midpoint inequalities; Hermite-Hadamard inequality; generalized fractional operators (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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