TY  - GEN
N2  - This book provides a systematic survey of classical and recent results on hyperbolic cross approximation. Motivated by numerous applications, the last two decades have seen great success in studying multivariate approximation. Multivariate problems have proven to be considerably more difficult than their univariate counterparts, and recent findings have established that multivariate mixed smoothness classes play a fundamental role in high-dimensional approximation. The book presents essential findings on and discussions of linear and nonlinear approximations of the mixed smoothness classes. Many of the important open problems explored here will provide both students and professionals with inspirations for further research.--
DO  - 10.1007/978-3-319-92240-9
DO  - doi
AB  - This book provides a systematic survey of classical and recent results on hyperbolic cross approximation. Motivated by numerous applications, the last two decades have seen great success in studying multivariate approximation. Multivariate problems have proven to be considerably more difficult than their univariate counterparts, and recent findings have established that multivariate mixed smoothness classes play a fundamental role in high-dimensional approximation. The book presents essential findings on and discussions of linear and nonlinear approximations of the mixed smoothness classes. Many of the important open problems explored here will provide both students and professionals with inspirations for further research.--
T1  - Hyperbolic cross approximation /
AU  - Dũng, Dinh,
AU  - Temlyakov, Vladimir,
AU  - Ullrich, Tino,
AU  - Tikhonov, Sergey,
CN  - QA221
ID  - 856395
KW  - Approximation theory.
KW  - Differential equations, Hyperbolic.
KW  - Multivariate analysis.
SN  - 9783319922409
SN  - 3319922408
TI  - Hyperbolic cross approximation /
LK  - https://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-92240-9
UR  - https://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-92240-9
ER  -