Prof. Dr. Kai HORMANN (Università della Svizzera italiana, Lugano): On the Lebesgue constant of Barycentric Rational Interpolation

Academic or specialist Colloquium / Congress / Forum

Approximating a function with rational interpolation often
gives excellent results, but it is generally hard to control
the occurrence of poles. However, the particular class of
barycentric rational interpolants is guaranteed to have no
poles and arbitrarily high approximation power. We first
give an introduction to this kind of interpolation and then
study the corresponding Lebesgue constants, which turn out
to have logarithmic growth in the case of equidistant
interpolation points.

[Invited by J-P.Berrut]

When? 12.10.2010 17:15
Where? PER 08 Phys 2.52
Chemin du Musée 3
1700 Fribourg
Contact Department of Mathematics