Analytic monotone extension of boundary data

Abstract

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 distribution in semi-conductor design.

Department(s)

Mathematics

Document Type

Article

DOI

https://doi.org/10.1006/jath.1994.1053

Publication Date

1-1-1994

Journal Title

Journal of Approximation Theory

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