On the Hermite-Hadamard type inequality for \(\psi\)-Riemann-Liouville fractional integrals via convex functions

DOI10.1186/s13660-019-1982-1zbMath1499.26144OpenAlexW2919162022MaRDI QIDQ2067733

Donal O'Regan, JinRong Wang, Kui Liu

Publication date: 19 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-019-1982-1

zbMATH Keywords

Hermite-Hadamard inequality\(\psi\)-Riemann-Liouville fractional integrals

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Differential inequalities involving functions of a single real variable (34A40)

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Cites Work

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• New inequalities of Ostrowski type for mappings whose derivatives are \(s\)-convex in the second sense via fractional integrals
• New inequalities of Hermite-Hadamard type via \(s\)-convex functions in the second sense with applications
• The Hermite-Hadamard inequality in Beckenbach's setting
• A general multidimensional Hermite-Hadamard type inequality
• Hermite and convexity
• On the \(\psi\)-Hilfer fractional derivative
• Hermite-Hadamard's inequalities for fractional integrals and related fractional inequalities
• Fractional Hermite-Hadamard Inequalities
• THE HADAMARD INEQUALITIES FOR s-CONVEX FUNCTIONS IN THE SECOND SENSE
• Hermite–Hadamard-type inequalities for Riemann–Liouville fractional integrals via two kinds of convexity

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