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On monotone extensions of boundary data

โœ Scribed by Wolfgang Dahmen; Ronald A. DeVore; Charles A. Micchelli

Publisher
Springer-Verlag
Year
1991
Tongue
English
Weight
654 KB
Volume
60
Category
Article
ISSN
0029-599X

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๐Ÿ“œ SIMILAR VOLUMES

Analytic Monotone Extension of Boundary
Analytic Monotone Extension of Boundary Data
โœ X.P. Sun; X.M. Yu ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 574 KB

We derive several schemes that extend a monotone function on the boundary of the unit square to be a monotone function on the unit square while maintaining the smoothness of the function. Our results are related to those of Dahmen, DeVore, and Micchelli and have application to the modeling of charge

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โœ G.G. Bilodeau ๐Ÿ“‚ Article ๐Ÿ“… 1986 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 233 KB

The main result is that D~[eaยฐ~f(x)] >10 for n~>0 on [a, b] implies that f is analytic on [a, b) if lira a,,/n < ~ where {a,} is a non-decreasing sequence of nonnegative numbers. The result is best possible in a well defined sense.