Geodesic
Estimates of the best bilinear approximations of functions of two
Sbornik. Mathematics, Tome 62 (1989) no. 1, pp. 95-109

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The orders of the upper bounds over certain classes of functions of two variables for approximations of these functions by sums of products of functions of the individual variables are obtained. As a corollary, optimal estimates are obtained for the singular numbers of integral operators and the Kolmogorov widths of classes of functions having an integral representation with kernels from the classes under consideration. Bibliography: 20 titles. 
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     author = {V. N. Temlyakov},
     title = {Estimates of the best bilinear approximations of functions of two},
     journal = {Sbornik. Mathematics},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1989_62_1_a5/}
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V. N. Temlyakov. Estimates of the best bilinear approximations of functions of two. Sbornik. Mathematics, Tome 62 (1989) no. 1, pp. 95-109. http://geodesic.mathdoc.fr/item/SM_1989_62_1_a5/