Some fractional integral inequalities involving \(m\)-convex functions

DOI10.1007/s00010-017-0470-2zbMath1373.26021OpenAlexW2593910506MaRDI QIDQ2359692

Mohamed Jleli, Bessem Samet, Donal O'Regan

Publication date: 22 June 2017

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-017-0470-2

zbMATH Keywords

inequalities\(m\)-convexityfractional integral with respect to another function

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Convexity of real functions in one variable, generalizations (26A51) Inequalities involving derivatives and differential and integral operators (26D10) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (7)

The fractional Dodson diffusion equation: a new approach ⋮ Hermite-Hadamard type inequalities for F-convex function involving fractional integrals ⋮ CERTAIN INTEGRAL INEQUALITIES CONSIDERING GENERALIZED m-CONVEXITY ON FRACTAL SETS AND THEIR APPLICATIONS ⋮ Modeling biological systems with an improved fractional Gompertz law ⋮ Scott-Blair models with time-varying viscosity ⋮ A generalized discrete fractional Gronwall inequality and its application on the uniqueness of solutions for nonlinear delay fractional difference system ⋮ A generalized h-fractional Gronwall's inequality and its applications for nonlinear h-fractional difference systems with ‘maxima’

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