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» The Laguerre-Sobolev-type orthogonal polynomials
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JAT
2006
74views more  JAT 2006»
13 years 5 months ago
An equivalence for the Riemann Hypothesis in terms of orthogonal polynomials
We construct a measure such that if {pn(z)} is the sequence of orthogonal polynomials relative to that measure, then the Riemann Hypothesis with simple zeros is true if and only if...
David A. Cardon, Sharleen A. Roberts
JAT
2002
50views more  JAT 2002»
13 years 4 months ago
Blumenthal's Theorem for Laurent Orthogonal Polynomials
We investigate polynomials satisfying a three-term recurrence relation of the form Bn(x) = (x - n)Bn-1(x) - nxBn-2(x), with positive recurrence coefficients n+1, n (n = 1, 2, . . ...
A. Sri Ranga, Walter Van Assche
SIAMSC
2010
134views more  SIAMSC 2010»
13 years 3 months ago
Moving Least Squares via Orthogonal Polynomials
A method for moving least squares interpolation and differentiation is presented in the framework of orthogonal polynomials on discrete points. This yields a robust and efficient ...
Michael Carley
FOCM
2008
156views more  FOCM 2008»
13 years 5 months ago
Random Sampling of Sparse Trigonometric Polynomials, II. Orthogonal Matching Pursuit versus Basis Pursuit
We investigate the problem of reconstructing sparse multivariate trigonometric polynomials from few randomly taken samples by Basis Pursuit and greedy algorithms such as Orthogona...
Stefan Kunis, Holger Rauhut
JAT
2010
85views more  JAT 2010»
13 years 3 months 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...