Quantum Calculus-Based Error Estimations in Hermite-Hadamard Type Inequalities

The main aim of this article is to present error approximations for Hermite-Hadamard inequalities, which are connected with $_{\omega_{1}}\mathfrak{q}$-fractional calculus operators and are based on $\mathrm{(\rho, m)}$-convex functions. The investigation revolves around our primary results, which are established using a specific identity. Moreover, we demonstrate that the results from earlier literature can be derived as special cases from our more comprehensive findings.