Fractional Hermite-Hadamard inequalities for \((s,m)\)-convex or \(s\)-concave functions

DOI10.1186/s13660-018-1829-1zbMath1498.26056OpenAlexW2889827900WikidataQ58745922 ScholiaQ58745922MaRDI QIDQ824775

Wei Tang, Rui Zhou, Tieyan Lian

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/s13660-018-1829-1

zbMATH Keywords

Riemann-Liouville fractional integrals\((s, m)\)-convex function

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51)

Related Items (4)

Hermite-Hadamard type inequalities in the setting of \(k\)-fractional calculus theory with applications ⋮ Modification of certain fractional integral inequalities for convex functions ⋮ New generalized Riemann-Liouville fractional integral inequalities for convex functions ⋮ Fractional integral inequalities of Hermite-Hadamard type for convex functions with respect to a monotone function

Cites Work

• 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
• Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula.
• Hermite-Hadamard's inequalities for fractional integrals and related fractional inequalities
• THE HADAMARD INEQUALITIES FOR s-CONVEX FUNCTIONS IN THE SECOND SENSE
• Fractional Calculus: Integral and Differential Equations of Fractional Order
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