Zobrazeno 1 - 10
of 20
pro vyhledávání: '"Ruymán Cruz-Barroso"'
In this paper we illustrate that paraorthogonality on the unit circle $\mathbb{T}$ is the counterpart to orthogonality on $\mathbb{R}$ when we are interested in the spectral properties. We characterize quasi-paraorthogonal polynomials on the unit cir
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f59b391da8f4d3ea212034b2f8d1a808
Publikováno v:
Journal of Mathematical Analysis and Applications. 455:592-605
We consider the approximation of integrals with respect to measures supported on the unit circle by means of positive quadrature formulas with maximal domain of exactness and up to three preassigned nodes. The quadrature formulas are exact in a new n
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5a0e344525b780cbbe5313c6381d8b5d
https://doi.org/10.1016/j.jmaa.2017.05.055
https://doi.org/10.1016/j.jmaa.2017.05.055
Publikováno v:
Journal of Computational and Applied Mathematics. 284:78-100
© 2014 Elsevier B.V. All rights reserved. In this paper we give a survey of some results concerning the computation of quadrature formulas on the unit circle. Like nodes and weights of Gauss quadrature formulas (for the estimation of integrals with
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9d8b353b74ebf32ce8811cc89b689555
https://doi.org/10.1016/j.cam.2014.11.002
https://doi.org/10.1016/j.cam.2014.11.002
Publikováno v:
Journal of Computational and Applied Mathematics. 284:115-132
Multiple orthogonal polynomials on the unit circle (MOPUC) were introduced by J. Minguez and W. Van Assche for the first time in 2008. Some applications were given there and recurrence relations were obtained from a Riemann-Hilbert problem.This paper
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0b3d94e1c4e6e857b1f30215fb134c36
https://doi.org/10.1016/j.cam.2014.11.004
https://doi.org/10.1016/j.cam.2014.11.004
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications.
© 2017, Institute of Mathematics. All rights reserved. Orthogonal rational functions (ORF) on the unit circle generalize orthogonal polynomials (poles at infinity) and Laurent polynomials (poles at zero and infinity). In this paper we investigate th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d0fec96f8c829ffc0c18b6d099d1b7e7
https://doi.org/10.3842/sigma.2017.090
https://doi.org/10.3842/sigma.2017.090
Publikováno v:
Journal of Computational and Applied Mathematics. 236:107-117
As a continuation of the well known connection between the theory of orthogonal polynomials on the unit circle and the interval [ − 1 , 1 ] , in this paper properties concerning error and convergence of certain rational approximants associated with
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::697daec02caabb3684f787aa471b1c49
https://doi.org/10.1016/j.cam.2011.05.042
https://doi.org/10.1016/j.cam.2011.05.042
Publikováno v:
Journal of Computational and Applied Mathematics. 235:966-981
Given a weight function @s(x) on [-1,1], or more generally a positive Borel measure, the Erdos-Turan theorem assures the convergence in L"2^@s-norm to a function f of its sequence of interpolating polynomials at the zeros of the orthogonal polynomial
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::430499050eebf3e363434957c00231de
https://doi.org/10.1016/j.cam.2009.12.021
https://doi.org/10.1016/j.cam.2009.12.021
Publikováno v:
Applied Numerical Mathematics. 60:1286-1299
We present a relation between rational Gauss-type quadrature formulas that approximate integrals of the form Jμ(F)=ζ-11F(x)dμ(x), and rational Szego quadrature formulas that approximate integrals of the form Iμ̊(F)=ζ-ππF(eiθ)dμ̊(θ). The m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0c8534285aac34e80253a938a50a0e77
https://doi.org/10.1016/j.apnum.2010.03.018
https://doi.org/10.1016/j.apnum.2010.03.018
Autor:
Ruymán Cruz-Barroso, Steven Delvaux
Publikováno v:
Journal of Approximation Theory. 161(1):65-87
Let there be given a probability measure $\mu$ on the unit circle $\TT$ of the complex plane and consider the inner product induced by $\mu$. In this paper we consider the problem of orthogonalizing a sequence of monomials $\{z^{r_k}\}_k$, for a cert
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8914df6be8c30daa321c6e589a9d4fdf
Publikováno v:
Numerical Algorithms. 52:273-293
In this paper, a new approach in the estimation of weighted integrals of periodic functions on unbounded intervals of the real line is presented by considering an associated weight function on the unit circle and making use of both Szegő and interpo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5e9f07e2bb5ef9a0bc0d21af434ca820
https://doi.org/10.1007/s11075-009-9273-4
https://doi.org/10.1007/s11075-009-9273-4