Zobrazeno 1 - 10
of 15
pro vyhledávání: '"Ágota P. Horváth"'
Autor:
Ágota P. Horváth
Publikováno v:
Acta Mathematica Hungarica. 157:537-550
Exceptional orthogonal polynomials fulfil recurrence relations with constant, and with variable dependent coefficients. Considering the second type relations we can define multi-indexed polynomials of the second kind. In some cases they are also exce
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::29c74d7e2e2e2319d1605690f93410dc
https://doi.org/10.1007/s10474-019-00922-9
https://doi.org/10.1007/s10474-019-00922-9
Autor:
Ágota P. Horváth
Publikováno v:
Journal of Mathematical Analysis and Applications. 507:125852
The aim of this paper is to prove Kolmogorov-Riesz type theorems via Bessel and Laguerre translations, and Pego-type theorems by the corresponding transformations.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::acbe979187a1eab40abb2b64917e2a70
https://doi.org/10.1016/j.jmaa.2021.125852
https://doi.org/10.1016/j.jmaa.2021.125852
Publikováno v:
Analysis Mathematica. 44:21-42
We study a Nikol’skii type inequality for even entire functions of given exponential type between the uniform norm on the half-line [0,∞) and the norm (∫ 0 ∞ |f(x)| q x2α+1dx)1/q of the space L q ((0,∞), x2α+1) with the Bessel weight for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::31bcc3f9a63e716ded3283dfcf54875a
https://doi.org/10.1007/s10476-018-0103-6
https://doi.org/10.1007/s10476-018-0103-6
Publikováno v:
Journal of Approximation Theory. 222:40-54
We study the Nikol’skii type inequality for algebraic polynomials on the half-line [ 0 , ∞ ) between the “uniform” norm sup { | f ( x ) | e − x ∕ 2 : x ∈ [ 0 , ∞ ) } and the norm ∫ 0 ∞ | f ( x ) e − x ∕ 2 | q x α d x 1 ∕ q
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::38f2abac9e272b92332260c3adb32ca1
https://doi.org/10.1016/j.jat.2017.05.005
https://doi.org/10.1016/j.jat.2017.05.005
Autor:
Ágota P. Horváth
Publikováno v:
Communications on Pure & Applied Analysis. 20:975
Some weighted inequalities for the maximal operator with respect to the discrete diffusion semigroups associated with exceptional Jacobi and Jacobi-Dunkl polynomials are given. This setup allows to extend the corresponding results obtained for discre
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a657a01c8c8b01310ad89efea38a5495
https://doi.org/10.3934/cpaa.2021002
https://doi.org/10.3934/cpaa.2021002
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:
Ágota P. Horváth
Publikováno v:
Journal of Approximation Theory. 194:87-107
We examine the electrostatic properties of exceptional and regular zeros of X m -Laguerre and X m -Jacobi polynomials. Since there is a close connection between the electrostatic properties of the zeros and the stability of interpolation on the syste
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3da1c2e12f85fe030451d4930e3cfad7
https://doi.org/10.1016/j.jat.2015.02.004
https://doi.org/10.1016/j.jat.2015.02.004
Autor:
Ágota P. Horváth
Publikováno v:
Annales Academiae Scientiarum Fennicae Mathematica. 40:851-874
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2733307cbac328decbbf958eaece931b
https://doi.org/10.5186/aasfm.2015.4047
https://doi.org/10.5186/aasfm.2015.4047
Autor:
Ágota P. Horváth
Publikováno v:
Journal of Mathematical Analysis and Applications. 410:699-712
We consider the linear span S of the functions t a k (with some a k > 0 ) in weighted L 2 spaces, with rather general weights. We give one necessary and one sufficient condition for S to be dense. Some comparisons are also made between the new result
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::374b60f9dc669fda550774295ebc950a
https://doi.org/10.1016/j.jmaa.2013.08.046
https://doi.org/10.1016/j.jmaa.2013.08.046
Autor:
Ágota P. Horváth
Publikováno v:
Acta Mathematica Hungarica. 141:366-382
We indicate the connections among the Fekete set, the zeros of orthogonal polynomials, 1(w)-normal point systems, and the nodes of an interpolatory process which is called stable and the most economical, via the Fejer constants. Finally the convergen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bd7c2ea476e3d14050e4cee96e7d0cd8
https://doi.org/10.1007/s10474-013-0335-7
https://doi.org/10.1007/s10474-013-0335-7