Author

Asif Khan

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#machine learning Mar 2025

Neural Network Operator-Based Fractal Approximation: Smoothness Preservation and Convergence Analysis

This work uses key approximation theory tools, such as the modulus of continuity and interpolation operators, to develop convergence results and uniform approximation error bounds, and to validate the theoretical results obtained, numerical experiments with graphical analysis using Python are provided.

Aaqib Ayoub Bhat, Asif Khan, M. Mursaleen · arXiv.org · 1 citation

Sep 2026

Approximation Capabilities of Deep Neural Network Interpolation Operators

This paper introduces deep neural network operators based on a special class of sigmoidal functions, using a constructive approximation approach, and establishes Bernstein-type inequality for the derivative of a two-hidden-layer neural network operator.

Aaqib Ayoub Bhat, Asif Khan · Mediterranean Journal of Mat... · 0 citations