The fundamentality of sets of ridge functions

DOI10.1007/BF01830981zbMath0766.41036OpenAlexW2000676862MaRDI QIDQ1207288

E. W. Cheney, Xingping Sun

Publication date: 1 April 1993

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

Full work available at URL: https://eudml.org/doc/137494

zbMATH Keywords

ridge functionsfundamentality

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Multidimensional problems (41A63) Algorithms for approximation of functions (65D15) Approximation by other special function classes (41A30)

Related Items

On the error of approximation by ridge functions with two fixed directions, Characterization of an extremal sum of ridge functions, On some properties of finite sums of ridge functions defined on convex subsets of \(\mathbb{R}^n\), Networks and closed balls, On the continuity of finite sums of ridge functions, Spanning with indexes, Continuous sums of ridge functions on a convex body and the class VMO, On some properties of smooth sums of ridge functions, Approximation by Ridge functions and neural networks with one hidden layer, Constructive methods of approximation by ridge functions and radial functions

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