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

DOI10.1186/1029-242X-2013-517zbMath1297.26015OpenAlexW4234914665WikidataQ59302014 ScholiaQ59302014MaRDI QIDQ2250352

Yumei Liao, JinRong Wang, Jian-Hua Deng

Publication date: 7 July 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-2013-517

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)

Properties and Riemann-Liouville fractional Hermite-Hadamard inequalities for the generalized \((\alpha,m)\)-preinvex functions ⋮ Riemann-Liouville fractional trapezium-like inequalities via generalized (m, h 1 , h 2 )-preinvexity ⋮ Certain mean-type fractional integral inequalities via different convexities with applications

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
• Fractional Hermite-Hadamard inequalities for \(({\alpha},m)\)-logarithmically convex functions
• 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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