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JAT
2010
171views more  JAT 2010»
9 years 8 months ago
Chebyshev approximation of the null function by an affine combination of complex exponential functions
We describe the theoretical solution of an approximation problem that uses a finite weighted sum of complex exponential functions. The problem arises in an optimization model for t...
Paul Armand, Joël Benoist, Elsa Bousquet
JAT
2010
46views more  JAT 2010»
9 years 8 months ago
Three-monotone spline approximation
For r 3, n N and each 3-monotone continuous function f on [a, b] (i.e., f is such that its third divided differences [x0, x1, x2, x3] f are nonnegative for all choices of distin...
G. A. Dzyubenko, Kirill Kopotun, A. V. Prymak
JAT
2010
51views more  JAT 2010»
9 years 8 months ago
Optimal adaptive computations in the Jaffard algebra and localized frames
We study the efficient numerical solution of infinite matrix equations Au = f for a matrix A in the Jaffard algebra. These matrices appear naturally via frame discretizations in m...
Stephan Dahlke, Massimo Fornasier, Karlheinz Gr&ou...
JAT
2010
60views more  JAT 2010»
10 years 2 hour ago
Growth properties of Nevanlinna matrices for rational moment problems
We consider rational moment problems on the real line with their associated orthogonal rational functions. There exists a Nevanlinna type parameterization relating to the problem,...
Adhemar Bultheel, Pablo González-Vera, Erik...
JAT
2010
62views more  JAT 2010»
10 years 2 hour ago
Pointwise estimates for polynomial approximation on the semiaxis
We state some pointwise estimates for the rate of weighted approximation of a continuous function on the semiaxis by polynomials. Similarly to a previous result in C[−1, 1] due ...
Giuseppe Mastroianni, Woula Themistoclakis
JAT
2010
85views more  JAT 2010»
10 years 2 hour ago
Asymptotics for Jacobi-Sobolev orthogonal polynomials associated with non-coherent pairs of measures
Abstract: Inner products of the type f, g S = f, g ψ0 + f , g ψ1 , where one of the measures ψ0 or ψ1 is the measure associated with the Jacobi polynomials, are usually referre...
Eliana X. L. de Andrade, Cleonice F. Bracciali, La...
JAT
2010
77views more  JAT 2010»
10 years 2 hour ago
Quadrature formula for computed tomography
We give a bivariate analog of the Micchelli-Rivlin quadrature for computing the integral of a function over the unit disk using its Radon projections. AMS subject classification:...
Borislav Bojanov, Guergana Petrova
JAT
2010
63views more  JAT 2010»
10 years 2 hour 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
JAT
2010
61views more  JAT 2010»
10 years 2 hour 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
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