Hermite-Jensen-Mercer type inequalities for Caputo fractional derivatives

DOI10.1155/2020/7061549zbMath1436.26026OpenAlexW3013345958MaRDI QIDQ2173554

Iskander Tlili, Jinchao Zhao, Zhaobo Wang, Jamshed Nasir, Saad Ihsan Butt

Publication date: 16 April 2020

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/7061549

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15)

Related Items (16)

New fractional Hermite-Hadamard-Mercer inequalities for harmonically convex function ⋮ Strongly reciprocally \(p\)-convex functions and some inequalities ⋮ On generalized strongly \(p\)-convex functions of higher order ⋮ Unifications of continuous and discrete fractional inequalities of the Hermite-Hadamard-Jensen-Mercer type via majorization ⋮ Quantum Hermite-Hadamard type integral inequalities for convex stochastic processes ⋮ Quantum Hermite-Hadamard and quantum Ostrowski type inequalities for \(s\)-convex functions in the second sense with applications ⋮ Some refinements of Hermite-Hadamard inequality using k-fractional Caputo derivatives ⋮ New conticrete inequalities of the Hermite-Hadamard-Jensen-Mercer type in terms of generalized conformable fractional operators via majorization ⋮ New extensions of Hermite-Hadamard inequality using \(k\) fractional Caputo derivatives ⋮ Improvements of logarithmic and identric mean inequalities for scalars and operators ⋮ On some inequalities for uniformly convex mapping with estimations to normal distributions ⋮ Unnamed Item ⋮ Some inequalities related to interval-valued \(\eta_h\)-convex functions ⋮ On strongly convex functions via Caputo-Fabrizio-type fractional integral and some applications ⋮ Some Hermite-Jensen-Mercer type inequalities for \(k\)-Caputo-fractional derivatives and related results ⋮ Some integral inequalities via fractional derivatives

Cites Work

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• Some new Hermite-Hadamard type inequalities for \(s\)-convex functions and their applications
• Bounds for the normalized Jensen-Mercer functional
• $k-$fractional integral inequalities for $(h-m)-$convex functions via Caputo $k-$fractional derivatives
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