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JAT
2010
80views more  JAT 2010»
13 years 3 months ago
The Bregman distance, approximate compactness and convexity of Chebyshev sets in Banach spaces
We present some sufficient conditions ensuring the upper semicontinuity and the continuity of the Bregman projection operator Π g C and the relative projection operator P g C in...
Chong Li, Wen Song, Jen-Chih Yao
JAT
2010
82views more  JAT 2010»
13 years 3 months ago
The Laguerre-Sobolev-type orthogonal polynomials
In this paper we find the second order linear differential equation satisfied by orthogonal polynomials with respect to the inner product p, q = ∞ 0 p(x)q(x)xα e−x dx + Mp...
Herbert Dueñas, Francisco Marcellán
JAT
2010
71views more  JAT 2010»
13 years 3 months ago
Functions with prescribed best linear approximations
A common problem in applied mathematics is that of finding a function in a Hilbert space with prescribed best approximations from a finite number of closed vector subspaces. In ...
Patrick L. Combettes, Noli N. Reyes
JAT
2010
61views more  JAT 2010»
13 years 3 months ago
Close-to-optimal bounds for SU(N) loop approximation
In [6], we proved an asymptotic O(n−α/(α+1)) bound for the approximation of SU(N) loops (N ≥ 2) with Lipschitz smoothness α > 1/2 by polynomial loops of degree ≤ n. Th...
Peter Oswald, Tatiana Shingel
JAT
2010
63views more  JAT 2010»
13 years 3 months ago
Symmetric box-splines on the A*n lattice
Sampling and reconstruction of generic multivariate functions is more efficient on non-Cartesian root lattices, such as the BCC (Body-Centered Cubic) lattice, than on the Cartesia...
Minho Kim, Jörg Peters