Convergence Analysis of Max-Min Exponential Neural Network Operators in Orlicz Space

In this current work, we propose a Max Min approach for approximating functions using exponential neural network operators. We extend this framework to develop the Max Min Kantorovich-type exponential neural network operators and investigate their approximation properties. We study both pointwise and uniform convergence for univariate functions. To analyze the order of convergence, we use the logarithmic modulus of continuity and estimate the corresponding rate of convergence. Furthermore, we examine the convergence behavior of the Max Min Kantorovich type exponential neural network operators within the Orlicz space setting. We provide some graphical representations to illustrate the approximation error of the function through suitable kernel and sigmoidal activation functions.

Publication Details

Journal
ArXiv.org
Published
2025-08-14
Primary Topic
Neural Networks and Applications
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article
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article

Convergence Analysis of Max-Min Exponential Neural Network Operators in Orlicz Space

ArXiv.org
Neural Networks and Applications
article

Convergence Analysis of Max-Min Exponential Neural Network Operators in Orlicz Space

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Abstract

In this current work, we propose a Max Min approach for approximating functions using exponential neural network operators. We extend this framework to develop the Max Min Kantorovich-type exponential neural network operators and investigate their approximation properties. We study both pointwise and uniform convergence for univariate functions. To analyze the order of convergence, we use the logarithmic modulus of continuity and estimate the corresponding rate of convergence. Furthermore, we examine the convergence behavior of the Max Min Kantorovich type exponential neural network operators within the Orlicz space setting. We provide some graphical representations to illustrate the approximation error of the function through suitable kernel and sigmoidal activation functions.

ArXiv.org
Openalex Percentile: Top 73%
Neural Networks and Applications
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Convergence Analysis of Max-Min Exponential Neural Network Operators in Orlicz Space · ArXiv.org (2025) | TGRS Research Map | TGRS