On Hermite-Hadamard type inequalities via fractional integral operators

DOI10.2298/FIL1903837TzbMath1499.26190MaRDI QIDQ5080694

Tuba Tunc, Mehmet Zeki Sarikaya

Publication date: 31 May 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

convex functionfractional integral operatorHermite-Hadamard inequalitiesco-ordinated convex function

Mathematics Subject Classification ID

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

Related Items (4)

General Raina fractional integral inequalities on coordinates of convex functions ⋮ On generalized Ostrowski, Simpson and trapezoidal type inequalities for co-ordinated convex functions via generalized fractional integrals ⋮ Some new parameterized inequalities for co-ordinated convex functions involving generalized fractional integrals ⋮ On generalization of midpoint type inequalities with generalized fractional integral operators

Cites Work

• Inequalities for convex and \(s\)-convex functions on \(\Delta = [a, b \times [c, d]\)]
• On the Jensen's inequality for convex functions on the coordinates in a rectangle from the plane
• On the Hadamard's inequality for log-convex functions on the coordinates
• On the Hadamard's inequality for convex functions on the co-ordinates in a rectangle from the plane
• On new inequalities of Hermite-Hadamard-Fejér type for convex functions via fractional integrals
• On generalized Hermite-Hadamard type integral inequalities involving Riemann-Liouville fractional integrals
• Some Hadamard's inequalities for co-ordinated convex functions in a rectangle from the plane
• On Ostrowski type inequalities
• On the Hermite–Hadamard-type inequalities for co-ordinated convex function via fractional integrals
• A note on the Hermite-Hadamard inequality for convex functions on the co-ordinates
• Some new inequalities of Hermite-Hadamard type for h-convex functions on the co-ordinates via fractional integrals
• On Some New Hadamard-Type Inequalities for Coordinated Quasi-convex Functions
• Fractional Calculus: Integral and Differential Equations of Fractional Order
• On the Hadamard's type inequalities for L-Lipschitzian mapping
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