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SUMMARY:Dimension-dependence error estimates for sampling recovery on Smol
 yak grids - Dũng Dinh (Vietnam National University)
DTSTART:20190220T094000Z
DTEND:20190220T101500Z
UID:TALK120121@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:We investigate dimension-dependence estimates of the approxima
 tion error  for linear algorithms of sampling recovery  on Smolyak grids <
 br>parametrized by $m$\, of periodic $d$-variate functions from the space 
 with Lipschitz-H"older mixed smoothness $alpha > 0$.  For the subsets of t
 he unit ball in this space of functions with homogeneous condition and of 
 functions depending  on $u$  active variables ($1 le u le d$)\, respective
 ly\,  we prove some upper bounds and lower bounds <br>(for $alpha le 2$) o
 f the error of the optimal sampling recovery  on Smolyak grids\, explicit 
 in $d$\, $u$\, $m$ when $d$ and $m$ may be large.  This is a joint work wi
 th Mai Xuan Thao\, Hong Duc University\, Thanh Hoa\, Vietnam.
LOCATION:Seminar Room 1\, Newton Institute
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