Hyperbolic Cross Approximation

• Κύριοι συγγραφείς: Dũng, Dinh (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Temlyakov, Vladimir (http://id.loc.gov/vocabulary/relators/aut), Ullrich, Tino (http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Tikhonov, Sergey (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Birkhäuser, 2018.
• Έκδοση: 1st ed. 2018.
• Σειρά: Advanced Courses in Mathematics - CRM Barcelona,
• Θέματα: Approximation theory.; Numerical analysis.; Approximations and Expansions.; Numerical Analysis.

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...

Πίνακας περιεχομένων:

• 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.