This paper builds upon the author’s recent research on the newly proposed Neural Network operators (Karsli, Const. Math. Anal., Proc. Book. July, 2023, 24–38) that employ wavelets. We present some asymptotic properties and quantitative findings related to these operators. The foundation of this study lies between the theories wavelet and approximation, along with knot points derived from the scaling functions of father wavelets. In subsequent sections, we will explore certain quantitative results and Voronovskaya-type theorems within various spaces.

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Asymptotic and Quantitative Results of Neural Network Operators that Employ Wavelets

  • Harun Karsli

摘要

This paper builds upon the author’s recent research on the newly proposed Neural Network operators (Karsli, Const. Math. Anal., Proc. Book. July, 2023, 24–38) that employ wavelets. We present some asymptotic properties and quantitative findings related to these operators. The foundation of this study lies between the theories wavelet and approximation, along with knot points derived from the scaling functions of father wavelets. In subsequent sections, we will explore certain quantitative results and Voronovskaya-type theorems within various spaces.