Theoretical and Numerical Approximation Through Generalized Fractional Integral Type Max Product Neural Network Operators

Sahil Berwal, S. A. Mohiuddine, Arun Kajla, Abdullah Alotaibi · Numerical Functional Analysis and Optimization · 2026

In this paper, we define a nonlinear extension of the fractional sum-type neural network operators of Kadak et al. [Citation1] using the max-product approach. Also, we introduce multivariate generalized max fractional neural network-type operators of order α>0. The quantitative estimates of operators are analyzed using the multivariate modulus of continuity and absolute moments. Finally, we provide illustrative examples, along with graphs and error tables, that show the excellent accuracy of the operators when using the chosen activation functions.

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