학술논문
Redundancy of smoothness conditions and supersmoothness of bivariate splines.
Document Type
Article
Author
Source
Subject
*SMOOTHNESS of functions
*REDUNDANT number systems
*BERNSTEIN polynomials
*SPLINES
*POLYNOMIALS
*
*
*
*
Language
ISSN
0272-4979
Abstract
We show that for many spaces of bivariate splines imposing certain additional individual smoothness conditions on a spline space does not change the space. Such spaces possess supersmoothness that is not reflected in their standard definitions. Smoothness is treated as vanishing of strongly supported smoothness functionals. We investigate the dependence of this phenomenon on the geometry of the underlying partition and the degree of splines. [ABSTRACT FROM AUTHOR]