New Refinements of Hermite-Hadamard Inequalities for Quantum Integrals

Puntos clave

• This research aims to refine Hermite-Hadamard inequalities through newly defined quantum integral functions.
• Introduced two new functions involving quantum integrals.
• Proved properties of these mappings, including convexity and monotony.
• Demonstrated refinements of the Hermite-Hadamard inequality using the new mappings.
• The new mappings exhibit convexity and monotony properties.
• Refinements to the left-hand side of the Hermite-Hadamard inequality were established for both left and right quantum integrals.