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CATEGORIES:Applied and Computational Analysis
SUMMARY:Generalised Sampling Approximation Theorems - Mari
 a Skopina (St.Petersburg University\, Russia)
DTSTART;TZID=Europe/London:20180201T150000
DTEND;TZID=Europe/London:20180201T160000
UID:TALK98215AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/98215
DESCRIPTION:Approximation properties of different generalizati
 ons of multivariate sampling expansions with matri
 x dilation are studied. Error estimations for so-c
 alled ''differential expansions'' and ''falsified 
 expansions'' are given in terms of the Fourier tra
 nsform of the approximated function. Another speci
 al case is generalized Kantorovich-Kotelnikov expa
 nsions. For this case\, the rate of convergence is
  given in terms of the classical moduli of smoothn
 ess of the approximated function. Several examples
  of the Kantorovich-Kotelnikov operators generated
  by the sink-function and its linear combinations 
 are provided.
LOCATION:MR14\, Centre for Mathematical Sciences
CONTACT:
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