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This book contains the refereed papers which were presented at the
second In ternational Dortmund Meeting on Approximation Theory
(IDoMAT 98) at Haus Bommerholz, the conference center of Dortmund
University, during the week of February 23-27,1998. At this
conference 52 researchers and specialists from Bul garia, China,
France, Great Britain, Hungary, Israel, Italy, Roumania, South
Africa and Germany participated and described new developments in
the fields of uni variate and multivariate approximation theory.
The papers cover topics such as radial basis functions, bivariate
spline interpolation, multilevel interpolation, mul tivariate
triangular Bernstein bases, Pade approximation, comonotone
polynomial approximation, weighted and unweighted polynomial
approximation, adaptive ap proximation, approximation operators of
binomial type, quasi interpolants, gen eralized convexity and Peano
kernel techniques. This research has applications in areas such as
computer aided geometric design, as applied in engineering and
medical technology (e. g. computerised tomography). Again this
international conference was wholly organized by the Dortmund
Lehrstuhl VIII for Approximation Theory. The organizers attached
great impor tance to inviting not only well-known researchers but
also young talented math ematicians. IDoMAT 98 gave an excellent
opportunity for talks and discussions between researchers from
different fields of Approximation Theory. In this way the
conference was characterized by a warm and cordial atmosphere. The
success of IDoMAT 98 was above all due to everyone of the
participants."
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