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_{۱}}\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.

کلیدواژه ها:

Error estimates ، (ρ ، m)-convex function ، ω۱q-derivative ، Hermite-Hadamard's inequality