Abstract:
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.
Citation:
V. N. Temlyakov, “Estimates of the best bilinear approximations of functions of two
variables and some of their applications”, Math. USSR-Sb., 62:1 (1989), 95–109
\Bibitem{Tem87}
\by V.~N.~Temlyakov
\paper Estimates of the best bilinear approximations of functions of two
variables and some of their applications
\jour Math. USSR-Sb.
\yr 1989
\vol 62
\issue 1
\pages 95--109
\mathnet{http://mi.mathnet.ru/eng/sm2652}
\crossref{https://doi.org/10.1070/SM1989v062n01ABEH003228}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=912413}
\zmath{https://zbmath.org/?q=an:0693.41010}
Linking options:
https://www.mathnet.ru/eng/sm2652
https://doi.org/10.1070/SM1989v062n01ABEH003228
https://www.mathnet.ru/eng/sm/v176/i1/p93
This publication is cited in the following 11 articles:
Citation in format AMSBIB
Contact us: