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A Korovkin type theorem for weighted spaces of continuous functions

Published online by Cambridge University Press:  17 April 2009

Walter Roth
Walter Roth
Affiliation:
Department of Mathematics, University of Bahrain, PO Box 32038, Bahrain e-mail: roth@sci.uob.bh
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We prove a Korovkin type approximation theorem for positive linear operators on weighted spaces of continuous real-valued functions on a compact Hausdorff space X. These spaces comprise a variety of subspaces of C (X) with suitable locally convex topologies and were introduced by Nachbin 1967 and Prolla 1977. Some early Korovkin type results on the weighted approximation of real-valued functions in one and several variables with a single weight function are due to Gadzhiev 1976 and 1980.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 55 , Issue 2 , April 1997 , pp. 239 - 248
Copyright
Copyright © Australian Mathematical Society 1997

References

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