Khan, SundasBudak, HüseyinChu, Yuming2026-07-012026-07-0120221222-9016https://doi.org/10.24193/mathcluj.2022.2.08https://hdl.handle.net/20.500.12684/23074In this study, the Hermite-Hadamard inequality for qκ2-integrals is demonstrated by a new method called the Green Function Technique. For this purpose, we first obtain certain identities. Then, by using these identities, we establish many new inequalities for functions whose second derivative is convex, monotone and concave in absolute value. © 2022, Publishing House of the Romanian Academy. All rights reserved.en10.24193/mathcluj.2022.2.08info:eu-repo/semantics/openAccessconvex functionHermite-Hadamard inequalityq-integralquantum calculusArticle6422332462-s2.0-105001926112Q4