Quantum Simpson like type inequalities for \(q\)-differentiable convex functions

DOI10.1007/S41478-024-00764-XMaRDI QIDQ6649382

B. Meftah, Abdourazek Souahi, Meriem Merad

Publication date: 5 December 2024

Published in: The Journal of Analysis (Search for Journal in Brave)

zbMATH Keywords

\(q\)-derivativeconvex functions\(q\)-integrationSimpson like inequality

Mathematics Subject Classification ID

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

Cites Work

• Some quantum estimates for Hermite-Hadamard inequalities
• Convex functions, partial orderings, and statistical applications
• On \(q\)-definite integrals.
• Quantum calculus on finite intervals and applications to impulsive difference equations
• \((p,q) \)-Hermite-Hadamard inequalities and \((p,q) \)-estimates for midpoint type inequalities via convex and quasi-convex functions
• Estimates of quantum bounds pertaining to new \(q\)-integral identity with applications
• Quantum integral inequalities on finite intervals
• Quantum Ostrowski inequalities for q-differentiable convex functions
• Bounds having Riemann type quantum integrals via strongly convex functions
• Quantum integral inequalities for convex functions
• Simpson type quantum integral inequalities for convex functions
• Simpson and Newton type inequalities for convex functions via newly defined quantum integrals
• SOME QUANTUM ESTIMATES OF HERMITE-HADAMARD INEQUALITIES FOR CONVEX FUNCTIONS
• Quantum calculus

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