Riemann-Liouville fractional Hermite-Hadamard inequalities. I: For once differentiable geometric-arithmetically \(s\)-convex functions

DOI10.1186/1029-242X-2013-443zbMath1296.26031OpenAlexW2414719368WikidataQ59300700 ScholiaQ59300700MaRDI QIDQ2017007

Yumei Liao, JinRong Wang, Jian-Hua Deng

Publication date: 25 June 2014

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

Full work available at URL: https://doi.org/10.1186/1029-242x-2013-443

zbMATH Keywords

Riemann-Liouville fractional integralsfractional Hermite-Hadamard inequalitiesgeometric-arithmetically \(s\)-convex functions

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)

Related Items (3)

Grüss type integral inequalities for generalized Riemann-Liouville \(k\)-fractional integrals ⋮ Some Simpson type integral inequalities for functions whose third derivatives are (\(\alpha, m\))-GA-convex functions ⋮ Applying GG-convex function to Hermite-Hadamard inequalities involving Hadamard fractional integrals

Cites Work

• Hermite-Hadamard-type inequalities for \(r\)-convex functions based on the use of Riemann-Liouville fractional integrals
• New inequalities of Ostrowski type for mappings whose derivatives are \(s\)-convex in the second sense via fractional integrals
• Hermite-Hadamard's inequalities for fractional integrals and related fractional inequalities
• Hermite–Hadamard type integral inequalities for geometric-arithmeticallys-convex functions
• Hermite–Hadamard-type inequalities for Riemann–Liouville fractional integrals via two kinds of convexity

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