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An approximation property of certain nonlinear Volterra integral operators

Part of: Volterra integral equations Approximations and expansions

Published online by Cambridge University Press:  26 February 2010

Hermann Brunner
Hermann Brunner
Affiliation:
Department of Mathematics, Dalhousie University, Halifax, Nova Scotia, Canada.
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Extract

Let T be a nonlinear Volterra integral operator of the form

(with I compact, a < b), whose kernel K = K(x, t, u) satisfies the following conditions:

with

MSC classification

Secondary: 41A50: Best approximation, Chebyshev systems 45D05: Volterra integral equations
Type
Research Article
Information
Mathematika , Volume 23 , Issue 1 , June 1976 , pp. 45 - 50
Copyright
Copyright © University College London 1976

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References

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