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UID:www.tcs.tifr.res.in/event/699
DTSTAMP:20230914T125934Z
SUMMARY:Weierstrass Polynomial Approximation Theorem for  $C[0\,1]$ via Wea
 k Law of Large Numbers
DESCRIPTION:Speaker: Krishna Athreya (Iowa State University\nDepartment of 
 Statistics\n2438 Osborn Dr. Ames\nIowa 50011-4040\nUnited States of Americ
 a)\n\nAbstract: \nKarl Weierstrass showed that given a continuous function
  $f$ on $[0\,1]$ and an epsilon positive\, there is a polynomial $p$ such 
 that it is uniformly epsilon close to $f$ on $[0\,1]$. In this talk we giv
 e a proof  of this using coin tossing.  We then generalize this to the c
 ase of simplexes and hypercubes. We also discuss approximation by $C^{\\in
 fty}$ infinity functions using Gauss kernels.\n \n
URL:https://www.tcs.tifr.res.in/web/events/699
DTSTART;TZID=Asia/Kolkata:20160725T160000
DTEND;TZID=Asia/Kolkata:20160725T170000
LOCATION:A-201 (STCS Seminar Room)
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