國立高雄大學圖資館 |

語系: 繁體中文

說明(常見問題)

圖資館首頁

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Hyperbolic cross approximation

Dung, Dinh.

Hyperbolic cross approximation

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Hyperbolic cross approximationby Dinh Dung, Vladimir Temlyakov, Tino Ullrich ; edited by Sergey Tikhonov.
作者:	Dung, Dinh.
其他作者:	Temlyakov, Vladimir.
出版者:	Cham :Springer International Publishing :2018.
面頁冊數:	xi, 218 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
標題:	Approximation theory.
電子資源:	https://doi.org/10.1007/978-3-319-92240-9
ISBN:	9783319922409$q(electronic bk.)

Hyperbolic cross approximation
Dung, Dinh.

Hyperbolic cross approximation[electronic resource] /by Dinh Dung, Vladimir Temlyakov, Tino Ullrich ; edited by Sergey Tikhonov. - Cham :Springer International Publishing :2018. - xi, 218 p. :ill. (some col.), digital ;24 cm. - Advanced courses in mathematics - CRM Barcelona,2297-0304. - Advanced courses in mathematics - CRM Barcelona..

Introduction -- Trigonometric polynomials -- Function spaces on T^d -- Linear approximation -- Sampling recovery -- Entropy numbers -- Best m-term approximation -- Numerical integration -- Related problems -- High-dimensional approximation -- Appendix.

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.

ISBN: 9783319922409$q(electronic bk.)

Standard No.: 10.1007/978-3-319-92240-9doiSubjects--Topical Terms:

185327
Approximation theory.

LC Class. No.: QA221 / .D755 2018

Dewey Class. No.: 511.4

Hyperbolic cross approximation
LDR:02073nmm a2200337 a 4500 001 545821
003 DE-He213
005 20190326132324.0
006 m d
007 cr nn 008maaau
008 190530s2018 gw s 0 eng d
020 $a 9783319922409$q(electronic bk.)
020 $a 9783319922393$q(paper)
024 7 $a 10.1007/978-3-319-92240-9 $2 doi
035 $a 978-3-319-92240-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QA221 $b .D755 2018
072 7 $a PBKJ $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBKJ $2 thema
082 0 4 $a 511.4 $2 23
090 $a QA221 $b .D916 2018
100 1 $a Dung, Dinh. $3 824911
245 1 0 $a Hyperbolic cross approximation $h [electronic resource] / $c by Dinh Dung, Vladimir Temlyakov, Tino Ullrich ; edited by Sergey Tikhonov.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2018.
300 $a xi, 218 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Advanced courses in mathematics - CRM Barcelona, $x 2297-0304
505 0 $a Introduction -- Trigonometric polynomials -- Function spaces on T^d -- Linear approximation -- Sampling recovery -- Entropy numbers -- Best m-term approximation -- Numerical integration -- Related problems -- High-dimensional approximation -- Appendix.
520 $a 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.
650 0 $a Approximation theory. $3 185327
650 0 $a Differential equations, Hyperbolic. $3 199039
650 0 $a Multivariate analysis. $3 181905
650 1 4 $a Approximations and Expansions. $3 281039
650 2 4 $a Numerical Analysis. $3 275681
700 1 $a Temlyakov, Vladimir. $3 715975
700 1 $a Ullrich, Tino. $3 824912
700 1 $a Tikhonov, Sergey. $3 684038
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Advanced courses in mathematics - CRM Barcelona. $3 558789
856 4 0 $u https://doi.org/10.1007/978-3-319-92240-9
950 $a Mathematics and Statistics (Springer-11649)