Gupta, VijayAral, AliOzsarac, Firat2025-01-212025-01-2120221664-23681664-235Xhttps://doi.org/10.1007/s13324-022-00723-4https://hdl.handle.net/20.500.12587/25205The paper deals with the semi-exponential type Gauss-Weierstrass operators. The central moments of these operators are constant functions. We estimate some direct results. We also provide a modification of such operators so as the preserve two exponential functions, we estimate weighted approximation, quantitative asymptotic formula for the modified form of operators. Later, a comparison is stated, that shows that in a certain sense and for certain family of illustrative functions the modified form of the semi-exponential Gauss-Weierstrass operators approximates better than the classical ones. Finally, we give some numerical results, which help us better understand the theoretical results obtained in the previous sections.eninfo:eu-repo/semantics/closedAccessGauss-Weierstrass operators; Quantitative asymptotic formula; Moments; Moment generating function; Semi-exponential Gauss-Weierstrass operators; Weighted approximationArticle12510.1007/s13324-022-00723-4WOS:000843351600001Q1