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Hyperbolic Cross Approximation

Hyperbolic Cross Approximation

Paperback

Series: Advanced Courses in Mathematics - Crm Barcelona

General Mathematics

ISBN10: 3319922394
ISBN13: 9783319922393
Publisher: Birkhauser
Published: Nov 13 2018
Pages: 218
Weight: 0.83
Height: 0.49 Width: 6.69 Depth: 9.61
Language: English

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.

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General Mathematics