On inequalities of Hermite-Hadamard-Mercer type involving Riemann-Liouville fractional integrals

DOI10.3934/math.2021043zbMath1484.26040OpenAlexW3095247129MaRDI QIDQ2131488

Thabet Abdeljawad, Pshtiwan Othman Mohammed, Artion Kashuri, Muhammad Aamir Ali

Publication date: 26 April 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021043

zbMATH Keywords

Riemann-Liouville fractional integralJensen-Mercer inequalityHermite-Hadamard-Mercer inequality

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) Inequalities involving other types of functions (26D07)

Related Items (6)

\((m, n)\)-harmonically polynomial convex functions and some Hadamard type inequalities on the co-ordinates ⋮ Some new q-Hermite-Hadamard-Mercer inequalities and related estimates in quantum calculus ⋮ The Hermite-Hadamard-Mercer type inequalities via generalized proportional fractional integral concerning another function ⋮ Hermite-Hadamard-Mercer type inclusions for interval-valued functions via Riemann-Liouville fractional integrals ⋮ Discrete Caputo delta fractional economic cobweb models ⋮ On some new inequalities of Hermite-Hadamard-Mercer midpoint and trapezoidal type in \(q\)-calculus

Cites Work

• A variant of Jensen's inequality of Mercer's type for operators with applications
• Jensen inequalities for functions with higher monotonicities
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula.
• New half-discrete Hilbert inequalities for three variables
• Generalized fractional integral inequalities of Hermite-Hadamard-type for a convex function
• Integral inequalities of Hermite-Hadamard type for quasi-convex functions with applications
• On generalized fractional integral inequalities for twice differentiable convex functions
• Hermite-Hadamard's inequalities for fractional integrals and related fractional inequalities
• Hermite‐Hadamard inequalities in fractional calculus defined using Mittag‐Leffler kernels
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