Yilmaz, BasarUysal, GumrahAral, Ali2024-09-292024-09-2920211846-579Xhttps://doi.org/10.7153/jmi-2021-15-75https://hdl.handle.net/20.500.14619/7907We propose two modifications for Gauss-Weierstrass operators and moment-type operators which fix e(ax) and e(2ax) with a> 0. First, we present moment identities for new operators. Then, we discuss weighted approximation and prove Voronovskaya-type theorems for them in exponentially weighted spaces. Using modulus of continuity in exponentially weighted spaces, we obtain some global smoothness preservation properties. We give a comparison result for Gauss-Weierstrass operators. Finally, we provide some graphical illustrations that show that modified operators perform better than classical ones.eninfo:eu-repo/semantics/openAccessGauss-Weierstrass operatorsmoment-type operatorsVoronovskaya-type theoremweighted approximationArticle10.7153/jmi-2021-15-752-s2.0-8511029507011183Q2110115WOS:000705523600014Q2