Hermite-Hadamard type inequalities for Riemann-Liouville fractional integrals of (α,m)-convex functions

DOI10.7153/fdc-04-02zbMath1412.26010OpenAlexW2513406667MaRDI QIDQ4626337

Bo-Yan Xi, Feng Qi, Deping Shi

Publication date: 27 February 2019

Published in: Fractional Differential Calculus (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/fdc-04-02

zbMATH Keywords

Riemann-Liouville fractional integral\((\alpha, m)\)-convex function

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Approximate quadratures (41A55)

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Cites Work

• Some Hermite-Hadamard type inequalities for \(n\)-time differentiable \(({\alpha},m)\)-convex functions
• Hermite-Hadamard-type inequalities via \((\alpha ,m)\)-convexity
• Hermite-Hadamard type inequalities for the \(m\)- and \((\alpha,m)\)-geometrically convex functions
• Fractional Hermite-Hadamard inequalities for \(({\alpha},m)\)-logarithmically convex functions
• Fractional Calculus: Integral and Differential Equations of Fractional Order
• Hermite-Hadamard type inequalities for the m- and (α, m)-logarithmically convex functions
• Some Hermite-Hadamard type inequalities for functions whose n-th derivatives are (α, m)-convex
• Some integral inequalities of Simpson type for GA-ɛ-convex functions
• Hermite–Hadamard-type inequalities for Riemann–Liouville fractional integrals via two kinds of convexity
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