## Abstract The paper deals with two closely related topics: (i) Numerical integration of functions belonging to SobolevβBesov spaces with dominating mixed smoothness in cubes. (ii) Discrepancy measured in terms of Lebesgue and SobolevβBesov spaces (Β© 2010 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim
β¦ LIBER β¦
Weighted Discrepancy and High-Dimensional Numerical Integration
β Scribed by G. Larcher; F. Pillichshammer; K. Scheicher
- Book ID
- 110438189
- Publisher
- Springer Netherlands
- Year
- 2003
- Tongue
- English
- Weight
- 206 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0006-3835
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After an introductory section in which some general results are quoted, there follows a section on one-dimensional rules, dealing with integration over finite intervals, error estimates, singularities, infinite integrals, oscillatory integrals and indefinite integrals. The final section, on multidim