LEADER 03175nam 22005775 450 001 9910300116503321 005 20250609111402.0 010 $a3-319-92240-8 024 7 $a10.1007/978-3-319-92240-9 035 $a(CKB)4100000007110778 035 $a(DE-He213)978-3-319-92240-9 035 $a(MiAaPQ)EBC6315607 035 $a(PPN)232471150 035 $a(MiAaPQ)EBC6282304 035 $a(EXLCZ)994100000007110778 100 $a20181102d2018 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aHyperbolic Cross Approximation /$fby Dinh D?ng, Vladimir Temlyakov, Tino Ullrich ; edited by Sergey Tikhonov 205 $a1st ed. 2018. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2018. 215 $a1 online resource (XI, 218 p. 24 illus., 11 illus. in color.) 225 1 $aAdvanced Courses in Mathematics - CRM Barcelona,$x2297-0304 311 08$a3-319-92239-4 320 $aIncludes bibliographical references and index. 327 $aIntroduction -- 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. 330 $aThis book provides a systematic survey of classical and recent results on hyperbolic cross approximation. Motivated by numerous applications, the last two decades have seen great success in studying multivariate approximation. Multivariate problems have proven to be considerably more difficult than their univariate counterparts, and recent findings have established that multivariate mixed smoothness classes play a fundamental role in high-dimensional approximation. The book presents essential findings on and discussions of linear and nonlinear approximations of the mixed smoothness classes. Many of the important open problems explored here will provide both students and professionals with inspirations for further research. 410 0$aAdvanced Courses in Mathematics - CRM Barcelona,$x2297-0304 606 $aApproximation theory 606 $aNumerical analysis 606 $aApproximations and Expansions$3https://scigraph.springernature.com/ontologies/product-market-codes/M12023 606 $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050 615 0$aApproximation theory. 615 0$aNumerical analysis. 615 14$aApproximations and Expansions. 615 24$aNumerical Analysis. 676 $a511.4 700 $aD?ng$b Dinh$4aut$4http://id.loc.gov/vocabulary/relators/aut$0768267 702 $aTemlyakov$b Vladimir$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aUllrich$b Tino$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aTikhonov$b Sergey$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910300116503321 996 $aHyperbolic Cross Approximation$92266034 997 $aUNINA