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    On semi-exponential Gauss–Weierstrass operators
    (Birkhauser, 2022) Gupta, Vijay; Aral, Ali; Özsaraç, Firat
    The 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. © 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.