Anastassiou, George A.Aral, Ali2025-01-212025-01-2120100420-12132391-4661https://hdl.handle.net/20.500.12587/25198In this paper, we introduce a generalization of Gauss-Weierstrass operators based on q-integers using the q-integral and we call them q-Gauss-Weierstrass integral operators. For these operators, we obtain a convergence property in a weighted function space using Korovkin theory. Then we estimate the rate of convergence of these operators in terms of a weighted modulus of continuity. We also prove optimal global smoothness preservation property of these operatorseninfo:eu-repo/semantics/openAccessGauss-Weierstrass operators; weighted approximation; q-exponential functions; q-derivative; q-integralArticle434841849WOS:000210127300010N/A