Topuz, CemOzsarac, FiratAral, Ali2025-01-212025-01-2120240420-12132391-4661https://doi.org/10.1515/dema-2023-0133https://hdl.handle.net/20.500.12587/25209In this study, we give a modification of Mellin convolution-type operators. In this way, we obtain the rate of convergence with the modulus of the continuity of the m m th-order Mellin derivative of function f f , but without the derivative of the operator. Then, we express the Taylor formula including Mellin derivatives with integral remainder. Later, a Voronovskaya-type theorem is proved. In the last part, we state order of approximation of the modified operators, and the obtained results are restated for the Mellin-Gauss-Weierstrass operator.eninfo:eu-repo/semantics/openAccessconvolution operators; Mellin derivatives; logarithmic modulus of continuity; Mellin-Gauss-Weierstrass operatorArticle57110.1515/dema-2023-01332-s2.0-85187289304Q1WOS:001162609700001N/A