Further Midpoint Inequalities via Generalized Fractional Operators in Riemann–Liouville Sense

In this study, new midpoint-type inequalities are given through recently generalized Riemann–Liouville fractional integrals. Foremost, we present an identity for a class of differentiable functions including the proposed fractional integrals. Then, several midpoint-type inequalities containing gener...

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Bibliographic Details
Published inFractal and fractional Vol. 6; no. 9; p. 496
Main Authors Hyder, Abd-Allah, Budak, Hüseyin, Almoneef, Areej A.
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.09.2022
Subjects
Convex analysis
Fractional calculus
generalized fractional operators
Hermite–Hadamard inequality
Inequalities
Inequality
Integrals
midpoint inequalities
Operators (mathematics)
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Summary:In this study, new midpoint-type inequalities are given through recently generalized Riemann–Liouville fractional integrals. Foremost, we present an identity for a class of differentiable functions including the proposed fractional integrals. Then, several midpoint-type inequalities containing generalized Riemann–Liouville fractional integrals are proved by employing the features of convex and concave functions. Furthermore, all obtained results in this study can be compared to previously published results.
ISSN:2504-3110
2504-3110
DOI:10.3390/fractalfract6090496