Zobrazeno 1 - 10
of 102
pro vyhledávání: '"Péter Vértesi"'
Publikováno v:
Acta Mathematica Hungarica. 155:466-478
We prove some results on the root-distances and the weighted Lebesgue function corresponding to orthogonal polynomials for Laguerre type exponential weights.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e2e1b3d1079f9627d16a8a0d2682e83e
https://doi.org/10.1007/s10474-018-0841-8
https://doi.org/10.1007/s10474-018-0841-8
Publikováno v:
Calcolo. 55
In order to approximate functions defined on the real semiaxis, we introduce a new operator of Hermite–Fejer-type based on Laguerre zeros and prove its convergence in weighted uniform metric.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a858d5ae2dd8160944567db74c865614
https://doi.org/10.1007/s10092-018-0281-4
https://doi.org/10.1007/s10092-018-0281-4
Autor:
Ágota P. Horváth, Péter Vértesi
Publikováno v:
Acta Mathematica Hungarica. 148:147-156
Grunwald–Marcinkiewicz type theorems with respect to barycentric Lagrange interpolation based on equidistant and Chebyshev node-sytems in [–1, 1] are proved. It turns out that the results are very similar to the ones known for the classical Lagra
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ca0fca0570fe16d1b2ab81ddcf9cf77d
https://doi.org/10.1007/s10474-015-0567-9
https://doi.org/10.1007/s10474-015-0567-9
Autor:
Péter Vértesi
Publikováno v:
Acta Mathematica Hungarica. 147:396-407
We prove theorems on the Lebesgue function and Lebesgue constant of barycentric Lagrange interpolation based on arbitrary node-sytem in [-1, 1]. It turns out that the results are very similar to the ones known for the classical Lagrange interpolation
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::259b7a52acadd313543daed03960eb33
https://doi.org/10.1007/s10474-015-0534-5
https://doi.org/10.1007/s10474-015-0534-5
Autor:
Péter Vértesi, L. Szili
Publikováno v:
Publications de l'Institut Math?matique (Belgrade). 96:233-238
Bernstein in 1930 defined a convergent interpolation process based on the roots of the Chebyshev polynomials. We prove a similar statement for certain Jacobi roots.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9c721b4a0d8412afb2e01f544fff8258
https://doi.org/10.2298/pim1410233s
https://doi.org/10.2298/pim1410233s
Publikováno v:
Journal of Approximation Theory. 176:1-14
Necessary and sufficient conditions for the weighted L^p-convergence of Hermite and Hermite-Fejer interpolation of higher order based on Jacobi zeros are given, extending previous results for Lagrange interpolation. Error estimates in the weighted L^
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::df1c8474d75a525826021b401946083e
https://doi.org/10.1016/j.jat.2013.08.001
https://doi.org/10.1016/j.jat.2013.08.001
Publikováno v:
Acta Mathematica Hungarica. 135:193-212
This paper generalizes some results of L. B. Golinskii [4] on the asymptotic behaviour of reflection coefficients associated with generalized Jacobi weight functions.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d073d25c3578856c87c0acb1fe315489
https://doi.org/10.1007/s10474-012-0197-4
https://doi.org/10.1007/s10474-012-0197-4
Autor:
L. Szili, Péter Vértesi
Publikováno v:
Banach Center Publications. 95:251-259
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1e935649a466a228ae64ae829d0ef146
https://doi.org/10.4064/bc95-0-12
https://doi.org/10.4064/bc95-0-12
Notes on orthogonal polynomials for exponential weights (Root-distances. Weighted Lebesgue function)
Autor:
Péter Vértesi
Publikováno v:
Acta Mathematica Hungarica. 119:381-392
We prove some results on the root-distances and the weighted Lebesgue function corresponding to orthogonal polynomials for exponential weights, where the weights are not necessarily symmetric.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8716c0cd93e2fa1c6e7e898a774e92b0
https://doi.org/10.1007/s10474-007-7063-9
https://doi.org/10.1007/s10474-007-7063-9
Autor:
László Szili, Péter Vértesi
Publikováno v:
Acta Mathematica Hungarica. 104:39-62
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::67236c10eee752f6409c580dba8bf51c
https://doi.org/10.1023/b:amhu.0000034361.65209.37
https://doi.org/10.1023/b:amhu.0000034361.65209.37