Uniform approximation by real functions
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Publication:3881293
DOI10.4064/fm-104-3-203-211zbMath0439.41030OpenAlexW120268759MaRDI QIDQ3881293
Anthony G. O'Farrell, Donald E. Marshall
Publication date: 1979
Published in: Fundamenta Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/211053
Related Items (22)
Diliberto-Straus algorithm for the uniform approximation by a sum of two algebras ⋮ Geometry of good sets in \(n\)-fold Cartesian product ⋮ On the error of approximation by ridge functions with two fixed directions ⋮ Characterization of an extremal sum of ridge functions ⋮ On the theorem of M. Golomb ⋮ A note on the equioscillation theorem for best ridge function approximation ⋮ On existence of a best uniform approximation of a function in two variables by the sums \(\varphi (x)+ \psi (y)\) ⋮ Representation of multivariate functions by sums of ridge functions ⋮ On the representation by sums of algebras of continuous functions ⋮ When is \(f(x_1,x_1,\dots,x_n)= u_1(x_1)+ u_2(x_2)+\cdots+ u_n(x_n)\)? ⋮ A Chebyshev-type alternation theorem for best approximation by a sum of two algebras ⋮ Approximation error of single hidden layer neural networks with fixed weights ⋮ Approximation by sums of ridge functions with fixed directions ⋮ Computing the Approximation Error for Neural Networks with Weights Varying on Fixed Directions ⋮ Approximation by neural networks with weights varying on a finite set of directions ⋮ On a generalization of the Stone-Weierstrass theorem ⋮ Unnamed Item ⋮ A Chebyshev-type theorem characterizing best approximation of a continuous function by elements of the sum of two algebras ⋮ Some problems in the theory of ridge functions ⋮ A note on the representation of continuous functions by linear superpositions ⋮ Approximation by a sum of two algebras. The lightning bolt principle ⋮ ON THE ERROR OF APPROXIMATION BY RBF NEURAL NETWORKS WITH TWO HIDDEN NODES
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