An extension and refinement of Hermite-Hadamard inequality and related results

DOI10.22075/ijnaa.2020.20071.2126OpenAlexW3046989429MaRDI QIDQ5052675

Gholamreza Zabandan

Publication date: 25 November 2022

Full work available at URL: https://ijnaa.semnan.ac.ir/article_4492_7f85d6bdb346d95d9d9c6335417b03d2.pdf

zbMATH Keywords

integral inequalityfractional integralsHermite-Hadamard inequalityRiemann-Liouville

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15)

Related Items (1)

On the extension of Hermite–Hadamard type inequalities for coordinated convex mappings

Cites Work

• The Hermite-Hadamard inequality for \(r\)-convex functions
• More about Hermite-Hadamard inequalities, Cauchy's means, and superquadracity
• Convex functions, partial orderings, and statistical applications
• Old and new on the Hermite-Hadamard inequality
• Hermite-Hadamard's inequalities for fractional integrals and related fractional inequalities
• Extensions of the Hermite-Hadamard inequality for convex functions via fractional integrals
• On generalized Hermite-Hadamard inequality for generalized convex function
• On extensions and refinements of Hermite-Hadamard inequalities for convex functions
• Hadamard-type inequalities for generalized convex functions
• REFINEMENTS OF HERMITE-HADAMARD TYPE INEQUALITIES FOR CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS
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