Hermite-Hadamard type inequalities for convex functions via generalized fractional integral operators

DOI10.1515/TAA-2017-0009zbMath1381.26006OpenAlexW2792029208MaRDI QIDQ1693340

Erhan Set, Abdurrahman Gözpinar

Publication date: 31 January 2018

Published in: Topological Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/taa-2017-0009

zbMATH Keywords

Riemann-Liouville fractional integralHermite-Hadamard inequalityfractional integral operator

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (6)

Generalized Hermite-Hadamard type inequalities involving fractional integral operators ⋮ Generalization of some fractional versions of Hadamard inequalities via exponentially \((\alpha, h-m)\)-convex functions ⋮ Certain New Hermite-Hadamard Type Inequalities for Convex Functions Via Fractional Integrals ⋮ Fractional versions of Hadamard-type inequalities for strongly exponentially \((\alpha, h - m)\)-convex functions ⋮ Hermite-Hadamard type inequalities for convex functions via generalized fractional integral operators ⋮ Hermite-Hadamard-Fejér type inequalities involving generalized fractional integral operators

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• On generalized Hermite-Hadamard type integral inequalities involving Riemann-Liouville fractional integrals
• Generalized Hermite-Hadamard type inequalities involving fractional integral operators
• On Ostrowski type inequalities
• On generalization of trapezoid type inequalities for s-convex functions with generalized fractional integral operators

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