Hermite-Hadamard and Hermite-Hadamard-Fejer type inequalities involving fractional integral operators

DOI10.2298/FIL1908367SzbMath1499.26186MaRDI QIDQ5080853

Ahmet Ocak Akdemir, E. Aykan Alan, Erhan Set

Publication date: 31 May 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

convex functionHermite-Hadamard type inequalitiesquasi-convex functiongeneralized fractional integral operatorsHermite-Hadamard-Fejer type inequalitiessymmetrized convex functionWright-quasi-convex functions

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) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20)

Related Items (4)

On some new inequalities of Hermite-Hadamard-Mercer midpoint and trapezoidal type in \(q\)-calculus ⋮ Generalized trapezoidal type integral inequalities and their applications ⋮ New generalized trapezoidal type integral inequalities with applications ⋮ Some integral inequalities for approximately h—convex functions and their applications

Cites Work

• On \(h\)-convexity
• Properties of \(h\)-convex functions related to the Hermite-Hadamard-Fejér inequalities
• Hermite and convexity
• On a new class of fractional operators
• Hermite-Hadamard-Fejér type inequalities involving generalized fractional integral operators
• An extension of the Hermite-Hadamard inequality for convex symmetrized functions
• Symmetrized convexity and Hermite-Hadamard type inequalities
• Hermite-Hadamard-Fejer type inequalities for convex functions via fractional integrals
• Quasi-convex functions and Hadamard's inequality

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