Representation of multivariate functions by sums of ridge functions

DOI10.1016/j.jmaa.2006.08.076zbMath1124.41029OpenAlexW2012214784MaRDI QIDQ879101

Vugar E. Ismailov

Publication date: 4 May 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.08.076

zbMATH Keywords

Multidimensional problemsApproximation and expansions

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximations and expansions (41A99)

Related Items

On the representation by sums of algebras of continuous functions ⋮ Meshless method with ridge basis functions ⋮ On a generalization of the Stone-Weierstrass theorem

Cites Work

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• Approximation theory in tensor product spaces
• Fundamentality of ridge functions
• Interpolation by Ridge functions
• On the approximation of a function of several variables by the sum of functions of fewer variables
• On Nonlinear Functions of Linear Combinations
• Uniform approximation by real functions
• Approximation by Solutions of the Planar Wave Equation
• Approximation by Ridge Functions and Neural Networks
• A CHEBYSHEV THEOREM FOR THE APPROXIMATION OF A FUNCTION OF TWO VARIABLES BY SUMS OF THE TYPE ϕ(x) + ψ(y)

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