A CHEBYSHEV THEOREM FOR THE APPROXIMATION OF A FUNCTION OF TWO VARIABLES BY SUMS OF THE TYPE ϕ(x) + ψ(y)

DOI10.1070/IM1969v003n03ABEH000793zbMath0206.34703MaRDI QIDQ5606715

S. Ya. Khavinson

Publication date: 1970

Published in: Mathematics of the USSR-Izvestiya (Search for Journal in Brave)

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50)

Related Items (10)

On the error of approximation by ridge functions with two fixed directions ⋮ Characterization of an extremal sum of ridge functions ⋮ Representation of multivariate functions by sums of ridge functions ⋮ On the representation by sums of algebras of continuous functions ⋮ A Chebyshev-type alternation theorem for best approximation by a sum of two algebras ⋮ On error formulas for approximation by sums of univariate functions ⋮ A Chebyshev-type theorem characterizing best approximation of a continuous function by elements of the sum of two algebras ⋮ Some best-approximation theorems in tensor-product spaces ⋮ 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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