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000856395 019__ $$a1077589581
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000856395 0247_ $$a10.1007/978-3-319-92240-9$$2doi
000856395 035__ $$aSP(OCoLC)on1062391850
000856395 035__ $$aSP(OCoLC)1062391850$$z(OCoLC)1077589581
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000856395 1001_ $$aDũng, Dinh,$$eauthor.
000856395 24510 $$aHyperbolic cross approximation /$$cDinh Dũng, Vladimir Temlyakov, Tino Ullrich ; editor for this volume: Sergey Tikhonov.
000856395 264_1 $$aCham, Switzerland :$$bBirkhäuser,$$c2018.
000856395 300__ $$a1 online resource (xi, 218 pages) :$$billustrations
000856395 336__ $$atext$$btxt$$2rdacontent
000856395 337__ $$acomputer$$bc$$2rdamedia
000856395 338__ $$aonline resource$$bcr$$2rdacarrier
000856395 4901_ $$aAdvanced courses in mathematics - CRM Barcelona,$$x2297-0304
000856395 504__ $$aIncludes bibliographical references and index.
000856395 5050_ $$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.
000856395 506__ $$aAccess limited to authorized users.
000856395 520__ $$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.--$$cProvided by publisher.
000856395 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed November 12, 2018).
000856395 650_0 $$aApproximation theory.
000856395 650_0 $$aDifferential equations, Hyperbolic.
000856395 650_0 $$aMultivariate analysis.
000856395 7001_ $$aTemlyakov, Vladimir,$$d1953-$$eauthor.
000856395 7001_ $$aUllrich, Tino,$$d1980-$$eauthor.
000856395 7001_ $$aTikhonov, Sergey,$$d1976-$$eeditor.
000856395 77608 $$iPrint version: $$z3319922394$$z9783319922393$$w(OCoLC)1032349792
000856395 830_0 $$aAdvanced courses in mathematics, CRM Barcelona,$$x2297-0304
000856395 852__ $$bebk
000856395 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-92240-9$$zOnline Access$$91397441.1
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