Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Francisco Perdomo-Pío"'
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 Mathematical Analysis and Applications. 420:20-39
In this paper, we are dealing with the approximate calculation of weighted integrals over the whole real line. The method is based in passing to the unit circle by means of the so-called “Cayley transform”, z = i − x i + x and then making use o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d8a4598a9ecc54177c51c7c99420938c
https://doi.org/10.1016/j.jmaa.2014.05.058
https://doi.org/10.1016/j.jmaa.2014.05.058
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
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
Publikováno v:
Computers & Mathematics with Applications. 57(2):308-323
This paper is concerned with the estimation of integrals of 2π-periodic functions with respect to the Hermite weight function by passing to the unit circle of the complex plane and considering Szegő and interpolatory-type quadrature formulas with r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cb63a39a6b13bf83044729323f1b09c9
Publikováno v:
e-Archivo. Repositorio Institucional de la Universidad Carlos III de Madrid
instname
instname
Motivated by the works of Delsarte and Genin (1988, 1991), who studied paraorthogonal polynomials associated with positive definite Hermitian linear functionals and their corresponding recurrence relations, we provide paraorthogonality theory, in the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0a9b13936a19d603c7a9cd9fcbfaf463
http://hdl.handle.net/10016/23287
http://hdl.handle.net/10016/23287
