MAA Writing Awards
Approximation and Abstract Boundaries
Year of Award: 1980
Award: Chauvenet Prize
Publication Information: The American Mathematical Monthly, vol. 85 (1978), pp. 632-647
Summary: This paper presents generalizations of Korovkin's so-called "three function theorem" on uniform convergence to continuous real-valued functions on a closed interval [a, b].
About the Author: (from The American Mathematical Monthly, vol. 85 (1978)) Heinz Bauer studied at Erlangen and at Nancy and received his doctorate under the direction of O.Haupt at Erlangen. He has taught at Hamburg and at Erlangen, where he now holds a professorship; he has also been a visiting professor at the University of Washington (Seattle), the Sorbonne, California Institute of Technology, New Mexico State University (Las Cruces), Bahia Blanca, and Aarhus. His main fields of interest are potential theory, probability and functional analysis.