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JAT
2010
61views more  JAT 2010»
13 years 3 months ago
Multivariate complex B-splines and Dirichlet averages
Abstract. The notion of complex B-spline is extended to a multivariate setting by means of ridge functions employing the known geometric relationship between ordinary B-splines and...
Peter Massopust, Brigitte Forster
JAT
2010
70views more  JAT 2010»
13 years 3 months ago
Density of eigenvalues and its perturbation invariance in unitary ensembles of random matrices
We generally study the density of eigenvalues in unitary ensembles of random matrices from the recurrence coefficients with regularly varying conditions for the orthogonal polynomi...
Dang-Zheng Liu, Zheng-Dong Wang, Kui-Hua Yan
JAT
2010
77views more  JAT 2010»
13 years 3 months 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
62views more  JAT 2010»
13 years 3 months 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
2007
67views more  JAT 2007»
13 years 4 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