Some k-fractional associates of Hermite-Hadamard's inequality for quasi-convex functions and applications to special means

DOI10.7153/FDC-2017-07-13zbMath1424.26052OpenAlexW2782788982MaRDI QIDQ4626398

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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-2017-07-13

zbMATH Keywords

Hermite-Hadamard inequalityHölder integral inequalityquasi-convex functionpower mean inequality\(k\)-Riemann-Liouville fractional integrals

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Geometric convexity in several complex variables (32F99)

Related Items (6)

New Hadamard-type inequalities for \(E\)-convex functions involving generalized fractional integrals ⋮ On boundedness of unified integral operators for quasiconvex functions ⋮ A new generalization of q-Hermite-Hadamard type integral inequalities for p, (p-s) and modified (p-s)-convex functions ⋮ Generalized fractional inequalities for quasi-convex functions ⋮ Inequalities of the Hermite-Hadamard type for Quasi-convex functions via the (k,s)-Riemann-Liouville fractional integrals ⋮ Hermite-Hadamard type inequalities for twice differantiable functions via generalized fractional integrals

Cites Work

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• Quasi-convex functions and Hadamard's inequality
• Fractional Calculus: Integral and Differential Equations of Fractional Order

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