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Surface Approximation and Visualisation II
February 19-22, 2002
New Zealand Approximation Theory Group
Westport, New Zealand

Organizers
Rick Beatson, Keith Unsworth, Shayne Waldron

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Tur'an's Problem for Positive Definite Functions
by
Elena E. Berdysheva
Mathematical Institute, University of Erlangen-Nuremberg, Erlangen, Germany; Institute of Mathematics and Mechanics of Ural Branch of Russian Academy of Sciences, Ekaterinburg, Russia
Coauthors: Vitalii V. Arestov (Ural State University, Ekaterinburg, Russia)

Consider the class of positive-definite functions f on Rd with supports in a given convex centrally symmetric body D normed by f(0)=1. P.Turán asked how much the mean value of f can be. We study Turán's problem and give its solution for some concrete bodies D.

Date received: January 9, 2002

Copyright © 2002 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caie-09.