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SUMMARY:Approximation by Interpolation: The Chebyshev Nodes
DTSTART:20251208T151500Z
DTEND:20251208T161500Z
DTSTAMP:20260308T042300Z
UID:indico-event-951@math-events.uni-bonn.de
DESCRIPTION:Speakers: Mama Foupouagnigni (AIMS / University of Yaounde 1\,
  Cameroon)\n\nAbstract: In this talk\, we first revisit the well-known res
 ult stating that the Hermite interpolation polynomials of a function f con
 tinuous on $[-1\, 1]$\, with the zeros of the Chebyshev polynomials of the
  first kind as nodes\, converge uniformly to $f$ on $[-1\,1]$. Then we ext
 end this result to obtain the uniform convergence of the Hermite interpola
 tion polynomials\, with the nodes taken as the zeros of the Chebyshev poly
 nomials of the second\, third and fourth kind\, not on the interval $[-1\,
 1]$ but rather on the intervals $[-\\frac{2\\sqrt{2}}{3}\, \\frac{2\\sqrt{
 2}}{3}]$\, $[-\\frac{\\sqrt{3}}{2}\, 1]$ and $[-1\, \\frac{\\sqrt{3}}{2}]$
 \, respectively.\n_____\n A short presentation of AIMS will follow the re
 search talk:\nThe African Institute for Mathematical Sciences' efforts tow
 ards the Training of the next Generation of African Leading Scientists \n
 Abstract: In this talk\, we first present the African Institute for Mathem
 atical Sciences which is the first Pan-African Network of Centre of Excell
 ence doing in the domain of Mathematical Sciences\, Research and Public En
 gagement\, located in 5 African countries: South Africa\, Ghana\, Senegal\
 , Cameroon and Rwanda. Then\, we present its achievements in 20 years\, a 
 great contribution to the training of the next generation of African leadi
 ng scientists. Finally\, we provide information about the AIMS Centre in C
 ameroon (www.aims-cameroon.org) and the areas of cooperation with German u
 niversities and the University of Bonn.\n \n\nhttps://math-events.uni-bon
 n.de/event/951/
LOCATION:Endenicher Allee 60/1-016 - Lipschitzsaal (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/951/
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