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Michael Revers, Mag., Dr., Ao.Univ.-Prof.  University of Salzburg, Department of Mathematics Hellbrunnerstrasse 34, A-5020 Salzburg AUSTRIA ++43 (0) 662 8044-5321 Michael.Revers@sbg.ac.at New internet address but the same WebSite: www.michael.revers.at

Research Interests
My principal research interest in mathematics is in Approximation Theory. I am interested in the theory of Polynomial Interpolation, Best Approximation by Polynomials and Rational Functions. At the time my interests cover the following topics:
A. The (best) polynomial approximation to certain functions, for example |x|^a on the interval [-1,1].
B. Investigating the (quantitative) divergence behavior of Lagrange Interpolation.
C. The size of the Lebesgue Function for Lagrange Interpolation.
D. General results (asymptotic expansions) on the Lebesgue Constants.
E. High precision scientific numerical computations on
     - Bernstein's constant (The Bernstein Conjecture in Approximation Theory).
     - The optimal interpolation arrays.(The Erdös-Bernstein Conjecture).
     - Improvements of the Remez Algorithm.
F. Rational Approximation around the following topics:
     - "8-Conjecture".
     - Interpolation with the Newman- and Fekete Nodes.
G. Inequalities.