Zobrazeno 1 - 10
of 111
pro vyhledávání: '"Pablo González-Vera"'
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. 237:589-602
We consider a positive measure on [0,~) and a sequence of nested spaces @?"0@?@?"1@?@?"2... of rational functions with prescribed poles in [-~,0]. Let {@f"k}"k"="0^~, with @f"0@?@?"0 and @f"k@?@?"k@?@?"k"-"1, k=1,2,... be the associated sequence of o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::71294f5f2df82124343faaaad946655e
https://doi.org/10.1016/j.cam.2012.06.037
https://doi.org/10.1016/j.cam.2012.06.037
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 Mathematical Analysis and Applications. 377:571-583
In the strong or two-point Stieltjes moment problem, one has to find a positive measure on [0,∞) for which infinitely many moments are prescribed at the origin and at infinity. Here we consider a multipoint version in which the origin and the point
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::55ddb9c138f9f0923e4d39950d81c311
https://doi.org/10.1016/j.jmaa.2010.11.044
https://doi.org/10.1016/j.jmaa.2010.11.044
Publikováno v:
Journal of Computational and Applied Mathematics. 235(4):982-997
We consider orderings of nested subspaces of the space of Laurent polynomials on the real line, more general than the balanced orderings associated with the ordered bases {1,z^-^1,z,z^-^2,z^2,...} and {1,z,z^-^1,z^2,z^-^2,...}. We show that with such
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cb8f0b0a802983639ed444dc6cb1ce79
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:
Journal of Approximation Theory. 162(12):2184-2201
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, with associated Nevanlinna matrices of functions having singularities
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1bb5580b81264150218e4e8afa00157e
Rational quadrature formulas on the unit circle with prescribed nodes and maximal domain of validity
Publikováno v:
IMA Journal of Numerical Analysis. 30:940-963
This paper is concerned with rational Szegő quadrature formulas to approximate integrals of the form I_μ(f)=∫_{-π..π} f(exp(iθ)) dμ(θ) by a formula like I_n(f)= ∑_{k=1..n} λ_k f(z_k) where the weights λ_k are positive and the nodes z_k a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9a6a1b4a144dcb8042568f7e5d459367
https://doi.org/10.1093/imanum/drn073
https://doi.org/10.1093/imanum/drn073
Publikováno v:
Applied Numerical Mathematics. 59:2002-2014
Let @f be a c-inversive strong distribution as defined in [A. Sri Ranga, E.X.L. de Andrade, J.H. McCabe, Some consequences of a symmetry in strong distributions, J. Math. Anal. Appl. 193 (1) (1995) 158-168]. In this paper, two-point Pade approximants
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::516e7053506bea8630b494fda8741d54
https://doi.org/10.1016/j.apnum.2009.03.003
https://doi.org/10.1016/j.apnum.2009.03.003
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