Nonlinear Approximation by Trigonometric Sums

Universal approximation bounds for superpositions of a sigmoidal function

Andrew R. Barron · IEEE Transactions on Information Theory · 1993 · 2.8K citations

Computing, Computer Science, Mathematics +13

EXTREMAL PROPERTIES OF ORTHOGONAL PARALLELEPIPEDS AND THEIR APPLICATIONS TO THE GEOMETRY OF BANACH SPACES

E. D. Gluskin · Mathematics of the USSR-Sbornik · 1989 · 149 citations

Natural Sciences, Computer Science, Computational Geometry +6

On trigonometric n-widths and their generalization

Yuly Makovoz · Journal of Approximation Theory · 1984 · 30 citations

Natural Sciences, Mathematics, Geometry +4

Trigonometric diameters of the Sobolev classes Wp r in the space Lq

V. Maiorov · Mathematical Notes · 1986 · 13 citations

Natural Sciences, Mathematics, Geometry +3