Refinements and similar extensions of Hermite-Hadamard inequality for fractional integrals and their applications

DOI10.1016/j.amc.2014.10.032zbMath1338.39040OpenAlexW2086699485MaRDI QIDQ298562

Shu-Ying Yeh, Kuei-Lin Tseng, Shiow-Ru Hwang

Publication date: 21 June 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.10.032

zbMATH Keywords

gamma functionconvex functionBeta functionfractional integralHermite-Hadamard inequality

Mathematics Subject Classification ID

Functional inequalities, including subadditivity, convexity, etc. (39B62)

Related Items

Hermite-Hadamard, Hermite-Hadamard-Fejér, Dragomir-Agarwal and Pachpatte type inequalities for convex functions via new fractional integrals ⋮ On some Hermite-Hadamard inequalities for fractional integrals and their applications ⋮ Riemann-Liouville fractional trapezium-like inequalities via generalized (m, h 1 , h 2 )-preinvexity ⋮ Some Hermite-Hadamard type inequalities in the class of hyperbolic \(p\)-convex functions ⋮ The Minkowski's inequality by means of a generalized fractional integral ⋮ Hermite-Hadamard type inequalities for operator (p,h)-convex functions ⋮ THE ESTIMATES OF HÖLDER INDEX AND THE BOX DIMENSION FOR THE HADAMARD FRACTIONAL INTEGRAL

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