Hermite‐Hadamard inequalities for Riemann‐Liouville fractional integrals of a convex function with respect to a monotone function

DOI10.1002/MMA.5784zbMath1472.26013OpenAlexW2963951848MaRDI QIDQ5003962

Pshtiwan Othman Mohammed

Publication date: 30 July 2021

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.5784

zbMATH Keywords

convex functionHermite-Hadamard inequalityRiemann-Liouville special functions

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 (27)

Hermite-Jensen-Mercer type inequalities for conformable integrals and related results ⋮ Generalization of some fractional versions of Hadamard inequalities via exponentially \((\alpha, h-m)\)-convex functions ⋮ CERTAIN NEW WEIGHTED YOUNG- AND PÓLYA–SZEGÖ-TYPE INEQUALITIES FOR UNIFIED FRACTIONAL INTEGRAL OPERATORS VIA AN EXTENDED GENERALIZED MITTAG-LEFFLER FUNCTION WITH APPLICATIONS ⋮ PROPERTIES AND INTEGRAL INEQUALITIES INVOLVING WITH THE GENERALIZED s-TYPE PREINVEX MAPPINGS IN FRACTAL SPACE ⋮ General Raina fractional integral inequalities on coordinates of convex functions ⋮ Hermite-Hadamard-type inequalities for conformable integrals ⋮ New generalized Pólya-Szegö and Čebyšev type inequalities with general kernel and measure ⋮ Refinements of some fractional integral inequalities for refined \((\alpha,h-m)\)-convex function ⋮ Inequalities for generalized Riemann-Liouville fractional integrals of generalized strongly convex functions ⋮ Generalized proportional fractional integral Hermite-Hadamard's inequalities ⋮ AN IMPROVEMENT OF THE POWER-MEAN INTEGRAL INEQUALITY IN THE FRAME OF FRACTAL SPACE AND CERTAIN RELATED MIDPOINT-TYPE INTEGRAL INEQUALITIES ⋮ Riemann-Liouville fractional integral operators with respect to increasing functions and strongly \((\alpha, m)\)-convex functions ⋮ On the fractional double integral inclusion relations having exponential kernels via interval-valued co-ordinated convex mappings ⋮ New Minkowski and related inequalities via general kernels and measures ⋮ Certain midpoint-type integral inequalities involving twice differentiable generalized convex mappings and applications in fractal domain ⋮ A novel comprehensive analysis on generalized harmonically ψ‐convex with respect to Raina's function on fractal set with applications ⋮ On the fractional integral inclusions having exponential kernels for interval-valued convex functions ⋮ Certain fractional integral inclusions pertaining to interval-valued exponential trigonometric convex functions ⋮ New modified conformable fractional integral inequalities of Hermite-Hadamard type with applications ⋮ Generalized fractional integral inequalities of Hermite-Hadamard-type for a convex function ⋮ Opial integral inequalities for generalized fractional operators with nonsingular kernel ⋮ Some parameterized inequalities by means of fractional integrals with exponential kernels and their applications ⋮ New generalized reverse Minkowski and related integral inequalities involving generalized fractional conformable integrals ⋮ New fractional inequalities of Hermite-Hadamard type involving the incomplete gamma functions ⋮ Certain quantum estimates on the parameterized integral inequalities and their applications ⋮ Simpson's integral inequalities for twice differentiable convex functions ⋮ Some modifications in conformable fractional integral inequalities

This page was built for publication: Hermite‐Hadamard inequalities for Riemann‐Liouville fractional integrals of a convex function with respect to a monotone function