A note on the representation of continuous functions by linear superpositions

DOI10.1016/J.EXMATH.2011.07.005zbMath1247.26022arXiv1501.05277OpenAlexW2963469862MaRDI QIDQ765901

Vugar E. Ismailov

Publication date: 22 March 2012

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.05277

zbMATH Keywords

pathbolt of lightning

Mathematics Subject Classification ID

Representation and superposition of functions (26B40) Approximation by arbitrary linear expressions (41A45)

Related Items (7)

On the error of approximation by ridge functions with two fixed directions ⋮ A note on the equioscillation theorem for best ridge function approximation ⋮ On the representation by sums of algebras of continuous functions ⋮ Approximation by sums of ridge functions with fixed directions ⋮ A three layer neural network can represent any multivariate function ⋮ Computing the Approximation Error for Neural Networks with Weights Varying on Fixed Directions ⋮ ON THE ERROR OF APPROXIMATION BY RBF NEURAL NETWORKS WITH TWO HIDDEN NODES

Cites Work

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• Interpolation by Ridge functions
• On the representation by linear superpositions
• Sums of Subalgebras of C (X )
• Uniform approximation by real functions
• A Superposition Theorem for Unbounded Continuous Functions
• A Superposition Theorem for Bounded Continuous Functions
• Dimension of metric spaces and Hilbert’s problem 13
• On the approximation by compositions of fixed multivariate functions with univariate functions

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