ISSN:
1432-0940
Keywords:
41A15
;
41A5
;
41A65
;
Perfect splines
;
Monosplines
;
Extended totally positive kernels
;
Monotone norms
;
Optimal quadrature formulas
;
Optimal interpolation
;
N-widths
;
Optimal spaces
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Generalized monosplines of least norm are shown to exist and to determine optimal approximation processes such as numerical integration, interpolation and best approximating spaces. This extends various classical results related to monosplines and perfect splines, which are particular cases of generalized monosplines. The analysis here also provides for a unified treatment of the two classical classes of monosplines and perfect splines of least norm, and of their extremal properties.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01890027
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