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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Veröffentlicht in:Fractal and fractional 2022-09, Vol.6 (9), p.496
Hauptverfasser: Hyder, Abd-Allah, Budak, Hüseyin, Almoneef, Areej A.
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Sprache:eng
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Zusammenfassung: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