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Numerical integration and discrepancy, a new approach
Author(s) -
Triebel Hans
Publication year - 2010
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200910842
Subject(s) - sobolev space , mathematics , smoothness , besov space , lp space , lebesgue integration , pure mathematics , interpolation space , mathematical analysis , banach space , functional analysis , biochemistry , chemistry , gene
The paper deals with two closely related topics: (i) Numerical integration of functions belonging to Sobolev‐Besov spaces with dominating mixed smoothness in cubes. (ii) Discrepancy measured in terms of Lebesgue and Sobolev‐Besov spaces (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)