On Hermite--Hadamard type inequalities via generalized fractional integrals

DOI10.3906/mat-1507-79zbMath1424.26055OpenAlexW2558542891MaRDI QIDQ4633679

Bessem Samet, Mohamed Jleli, Donal O'Regan

Publication date: 3 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1507-79

zbMATH Keywords

convex functionRiemann-Liouville fractional integralHermite-Hadamard inequalityHadamard fractional integralgeneralized fractional integral

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)

Related Items (21)

Some new \(k\)-Riemann-Liouville fractional integral inequalities associated with the strongly \(\eta\)-quasiconvex functions with modulus \(\mu\geq0\) ⋮ Integral inequalities for some convex functions via generalized fractional integrals ⋮ Some inequalities via \(\psi\)-Riemann-Liouville fractional integrals ⋮ Hermite-Hadamard inequality for new generalized conformable fractional operators ⋮ Some parameterized integral inequalities for \(p\)-convex mappings via the right Katugampola fractional integrals ⋮ Some new fractional inequalities involving convex functions and generalized fractional integral operator ⋮ Estimates of upper bound for differentiable mappings related to Katugampola fractional integrals and \(p\)-convex mappings ⋮ Hermite-Hadamard and Hermite-Hadamard-Fejér type inequalities for generalized fractional integrals ⋮ New conticrete inequalities of the Hermite-Hadamard-Jensen-Mercer type in terms of generalized conformable fractional operators via majorization ⋮ On the fractional double integral inclusion relations having exponential kernels via interval-valued co-ordinated convex mappings ⋮ Certain midpoint-type integral inequalities involving twice differentiable generalized convex mappings and applications in fractal domain ⋮ Inequalities of the Hermite-Hadamard type for Quasi-convex functions via the (k,s)-Riemann-Liouville fractional integrals ⋮ New refinements of fractional Hermite-Hadamard inequality ⋮ Certain Hermite-Hadamard type inequalities via generalized \(k\)-fractional integrals ⋮ Generalized Hadamard fractional integral inequalities for strongly \((s,m)\)-convex functions ⋮ Hermite-Hadamard's mid-point type inequalities for generalized fractional integrals ⋮ New generalized trapezoidal type integral inequalities with applications ⋮ Convexity according to a pair of quasi-arithmetic means and inequalities ⋮ Hermite-Hadamard-type inequalities involving \(\psi\)-Riemann-Liouville fractional integrals via \(s\)-convex functions ⋮ Some parameterized inequalities by means of fractional integrals with exponential kernels and their applications ⋮ Inequalities for \(n\)-class of functions using the Saigo fractional integral operator

Cites Work

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• New approach to a generalized fractional integral
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• Hermite and convexity
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• Generalization of different type integral inequalities for s-convex functions via fractional integrals
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