Lp-Sampling recovery for non-compact subclasses of L∞

Autor: Glenn Byrenheid, Serhii Stasyuk, Tino Ullrich

Publikováno v: Frontiers in Applied Mathematics and Statistics, Vol 9 (2023)

In this article, we study the sampling recovery problem for certain relevant multivariate function classes on the cube [0, 1]d, which are not compactly embedded into L∞([0,1]d). Recent tools relating the sampling widths to the Kolmogorov or best m-

Externí odkaz: https://doaj.org/article/df3e37d841d64149abd080e80de515be

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Ограниченность констант лебега и интерполяционные базисы Фабера

Autor: Jürgen Prestin, Viktoriia Bilet, Oleksiy Dovgoshey

Publikováno v: Наукові вісті Національного технічного університету України "Київський політехнічний інститут", Vol 0, Iss 4, Pp 7-16 (2017)
Наукові вісті НТУУ «КПІ» : міжнародний науково-технічний журнал, 2017, № 4(114)
"""Research Bulletin of the National Technical University of Ukraine """"Kyiv Politechnic Institute"""""""
"Research Bulletin of the National Technical University of Ukraine ""Kyiv Politechnic Institute"""

We investigate some conditions under which the Lebesgue constants or Lebesgue functions are bounded for the classical Lagrange polynomial interpolation on a compact subset of $\mathbb R$. In particular, relationships of such boundedness with uniform

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b2479dd190d7351effd88a8dcbb85b4f
https://doi.org/10.20535/1810-0546.2017.4.108444

Nonnegative linearization for little q-Laguerre polynomials and Faber basis

Autor: Josef Obermaier, Ryszard Szwarc

Publikováno v: Journal of Computational and Applied Mathematics. 199:89-94

The support of the orthogonality measure of so-called little q-Laguerre polynomials {ln(.; a|q)}n=0∞, 0 < q < 1, 0 < a < q-1, is given by Sq = {1, q, q2,...} ∪ {0}. Based on a method of Mlotkowski and Szwarc we deduce a parameter set which admits

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dd8000f7a22476d6e1323ce32623ae7d
https://doi.org/10.1016/j.cam.2005.03.095

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