JAT
2010
13 years 5 months ago
2010
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...
JAT
2010
13 years 5 months ago
2010
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...
JAT
2010
13 years 5 months ago
2010
JAT
2010
13 years 5 months ago
2010
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...
JAT
2010
13 years 9 months ago
2010
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,...
JAT
2010
13 years 9 months ago
2010
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 ...
JAT
2010
2010
Asymptotics for Jacobi-Sobolev orthogonal polynomials associated with non-coherent pairs of measures
13 years 9 months ago
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...
JAT
2010
13 years 9 months ago
2010
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:...
JAT
2010
13 years 9 months ago
2010
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...
JAT
2010
13 years 9 months ago
2010
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...