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JAT
2007
67views more  JAT 2007»
8 years 11 months ago
Rakhmanov's theorem for orthogonal matrix polynomials on the unit circle
Rakhmanov’s theorem for orthogonal polynomials on the unit circle gives a sufficient condition on the orthogonality measure for orthogonal polynomials on the unit circle, in orde...
Walter Van Assche
JAT
2006
84views more  JAT 2006»
9 years 1 days ago
Bivariate Lagrange interpolation at the Padua points: The generating curve approach
We give a simple, geometric and explicit construction of bivariate interpolation at certain points in a square (called Padua points), giving compact formulas for their fundamental...
Len Bos, Marco Caliari, Stefano De Marchi, Marco V...
JAT
2006
89views more  JAT 2006»
9 years 1 days ago
Continuous and discrete least-squares approximation by radial basis functions on spheres
In this paper we discuss Sobolev bounds on functions that vanish at scattered points on the n-sphere Sn in
Quoc Thong Le Gia, Francis J. Narcowich, Joseph D....
JAT
2006
64views more  JAT 2006»
9 years 1 days ago
Nonlinear function approximation: Computing smooth solutions with an adaptive greedy algorithm
Opposed to linear schemes, nonlinear function approximation allows to obtain a dimension independent rate of convergence. Unfortunately, in the presence of data noise typical algo...
Andreas Hofinger
JAT
2006
66views more  JAT 2006»
9 years 1 days ago
An extrapolation theorem for nonlinear approximation and its applications
We prove an extrapolation theorem for the nonlinear m-term approximation with respect to a system of functions satisfying very mild conditions. This theorem allows us to prove end...
Feng Dai
JAT
2006
41views more  JAT 2006»
9 years 1 days ago
On some cubature formulas on the sphere
Jürgen Prestin, Daniela Rosca
JAT
2006
64views more  JAT 2006»
9 years 1 days ago
A strongly convergent reflection method for finding the projection onto the intersection of two closed convex sets in a Hilbert
A new iterative method for finding the projection onto the intersection of two closed convex sets in a Hilbert space is presented. It is a Haugazeau-like modification of a recentl...
Heinz H. Bauschke, Patrick L. Combettes, D. Russel...
JAT
2006
82views more  JAT 2006»
9 years 1 days ago
Construction of recurrent bivariate fractal interpolation surfaces and computation of their box-counting dimension
Recurrent bivariate fractal interpolation surfaces (RBFISs) generalise the notion of affine fractal interpolation surfaces (FISs) in that the iterated system of transformations us...
P. Bouboulis, Leoni Dalla, V. Drakopoulos
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