000			nam a22 7a 4500
999			_c29482 _d29482
008			190427b xxu||||| |||| 00| 0 eng d
020			_a9781108428750 _c(hbk)
082			_a511.4 _bTEM
100			_aTemlyakov, V.
245			_aMultivariate approximation
260			_aUnited Kingdom : _bCambridge University Press, _c2018
300			_axvi, 534 p. : _bill. ; _c24.5 cm.
365			_aGBP _b79.99 _d00
504			_aIncludes bibliographical references and index
520			_aThis self-contained, systematic treatment of multivariate approximation begins with classical linear approximation, and moves on to contemporary nonlinear approximation. It covers substantial new developments in the linear approximation theory of classes with mixed smoothness, and shows how it is directly related to deep problems in other areas of mathematics. For example, numerical integration of these classes is closely related to discrepancy theory and to nonlinear approximation with respect to special redundant dictionaries, and estimates of the entropy numbers of classes with mixed smoothness are closely related to (in some cases equivalent to) the Small Ball Problem from probability theory. The useful background material included in the book makes it accessible to graduate students. Researchers will find that the many open problems in the theory outlined in the book provide helpful directions and guidance for their own research in this exciting and active area.
650			_aMultivariate analysis
650			_aApproximation theory
942			_2ddc _cBK