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Representation of a function in terms of its mean boundary values

Published online by Cambridge University Press:  17 April 2009

Chin-Hung Ching  and
Charles K. Chui
Chin-Hung Ching
Affiliation:
Texas A & M University, Texas, USA.
Charles K. Chui
Affiliation:
Texas A & M University, Texas, USA.
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Abstract

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We give the representation formula of a function in a disc in terms of its arithmetic means on the boundary. We also give applications of this formula to the solutions of some elementary differential equations with prescribed means of boundary or initial data.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 7 , Issue 3 , December 1972 , pp. 425 - 427
Copyright
Copyright © Australian Mathematical Society 1972

References

[1]Ching, Chin-Hung and Chul, Charles K., “Asymptotic similarities of Fourier and Riemann coefficients”, J. Approximation Theory (to appear).Google Scholar
[2]Chui, Charles K., “Concerning rates of convergence of Riemann suns”, J. Approximation Theory 4 (1971), 279–287.CrossRefGoogle Scholar