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Approximation of functions by means of Lipschitz functions

Published online by Cambridge University Press:  09 April 2009

J. H. Michael
J. H. Michael
Affiliation:
University of AdelaideSouth Australia
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Let Q denote the closed unit cube in Rn. The elementary area A(f) of a Lipschitz function f on Q is given by the formula.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 3 , Issue 2 , May 1963 , pp. 134 - 150
Copyright
Copyright © Australian Mathematical Society 1963

References

[1]Goffman, , Casper, , Lower semi-continuity and area functionals I. The non-parametric case. Rendiconti del Circolo Matematico di Palermo, Ser. 2, Tomo 2 (1953), 203–235.CrossRefGoogle Scholar
[2]Michael, J. H., The equivalence of two areas for non-parametric discontinuous surfaces. Illinois Journal of Mathematics. To appear.Google Scholar