Quantum Hermite-Hadamard inequalities for double integral and q-differentiable convex functions

DOI10.7153/jmi-2019-13-45zbMath1425.26012OpenAlexW2980315725MaRDI QIDQ5244237

Kamsing Nonlaopon, Jessada Tariboon, Julalak Prabseang

Publication date: 20 November 2019

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-2019-13-45

zbMATH Keywords

\(q\)-derivativeconvex functions\(q\)-integralHermite-Hadamard inequalities

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (10)

\(Iq\)-calculus and \(Iq\)-Hermite-Hadamard inequalities for interval-valued functions ⋮ Post-quantum Ostrowski type integral inequalities for twice (p,q)-differentiable functions ⋮ Refinements of quantum Hermite-Hadamard-type inequalities ⋮ On Simpson type inequalities for generalized strongly preinvex functions via \((p,q)\)-calculus and applications ⋮ On generalizations of some integral inequalities for preinvex functions via \((p,q)\)-calculus ⋮ On the refinement of quantum Hermite-Hadamard inequalities for continuous convex functions ⋮ Some results on Hermite-Hadamard type inequalities with respect to fractional integrals ⋮ \((p, q)\)-Hermite-Hadamard inequalities for double integral and \((p, q)\)-differentiable convex functions ⋮ On the refinements of some important inequalities via \((p,q)\)-calculus and their applications ⋮ Some generalizations on q-Steffensen inequality

Cites Work

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• Quantum calculus on finite intervals and applications to impulsive difference equations
• Quantum integral inequalities on finite intervals
• On integral representations of \(q\)-gamma and \(q\)-beta functions
• Quantum integral inequalities for convex functions
• Quantum calculus

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