Integral inequalities for some convex functions via generalized fractional integrals

DOI10.1186/s13660-018-1807-7zbMath1498.26061OpenAlexW2885631366WikidataQ58782106 ScholiaQ58782106MaRDI QIDQ824728

Matloob Anwar, Naila Mehreen

Publication date: 15 December 2021

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-018-1807-7

zbMATH Keywords

convex functionsRiemann-Liouville fractional integral\(m\)-convex functionsHadamard fractional integral\(s\)-convex functionsHermite-Hadamard inequalitiesKatugampola fractional integral

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (6)

Some inequalities via \(\psi\)-Riemann-Liouville fractional integrals ⋮ Some parameterized integral inequalities for \(p\)-convex mappings via the right Katugampola fractional integrals ⋮ On some Hermite-Hadamard type inequalities for \(tgs\)-convex functions via generalized fractional integrals ⋮ Estimates of upper bound for differentiable mappings related to Katugampola fractional integrals and \(p\)-convex mappings ⋮ Unnamed Item ⋮ Hermite-Hadamard and Hermite-Hadamard-Fejer type inequalities for \(p\)-convex functions via conformable fractional integrals

Cites Work

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• Hermite-Hadamard type inequalities for harmonically convex functions via fractional integrals
• The Hermite-Hadamard's inequality for some convex functions via fractional integrals and related results
• Hermite-Hadamard-type inequalities via \((\alpha ,m)\)-convexity
• Hermite-Hadamard's type inequalities for operator convex functions
• The Hermite-Hadamard inequality for log-convex functions
• Extensions of the Hermite-Hadamard inequality for harmonically convex functions via fractional integrals
• Hermite-Hadamard type integral inequalities for differentiable \(m\)-preinvex and (\(\alpha,m\))-preinvex functions
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Some remarks on \(s\)-convex functions
• On Hadamard-type inequalities involving several kinds of convexity
• Hermite-Hadamard's inequalities for fractional integrals and related fractional inequalities
• On Hermite--Hadamard type inequalities via generalized fractional integrals
• A New Approach to Generalized Fractional Derivatives
• Hermite-Hadamard type inequalities for harmonically convex functions

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