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A test function theorem and apporoximation by pseudopolynomials

Published online by Cambridge University Press:  17 April 2009

C. Badea ,
I. Badea  and
H. H. Gonska
C. Badea
Affiliation:
Department of Mathematics, University of Craiova, Str. A.I. Cuza, No. 13, 1100-Craiova, Romania
I. Badea
Affiliation:
Department of Mathematics, University of Craiova, Str. A.I. Cuza, No. 13, 1100-Craiova, Romania
H. H. Gonska
Affiliation:
Department of Mathematics and Computer Science, Drexel University, Philadelphia, PA 19104., U.S.A.Department of Mathematics, University of Duisburg, D-4100 Duisburg 1, West Germany.
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Abstract

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We prove a Korovkin-type theorem on approximation of bivariate functions in the space of B-continuous functions (introduced by K. Bögel in 1934). As consequences, some sequences of uniformly approximating pseudopolynomials are obtained.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 34 , Issue 1 , August 1986 , pp. 53 - 64
Copyright
Copyright © Australian Mathematical Society 1986

References

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