Hyperbolic Cross Approximation

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...

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Bibliographic Details
Main Author: Dũng, Dinh (Author)
Format: Electronic eBook
Language:English
Published: Cham : Springer International Publishing, 2018.
Edition:1st ed. 2018.
Series:Advanced Courses in Mathematics - CRM Barcelona,
Subjects:
Approximation theory.
Numerical analysis.
ISBN:9783319922409
ISSN:2297-0304
Online Access: Get full text
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Table of Contents:
  • 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.

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