Zobrazeno 1 - 10
of 23
pro vyhledávání: '"Sergio Antonio Tozoni"'
Publikováno v:
Journal of Mathematical Analysis and Applications. 479:1292-1323
Estimates for Kolmogorov and Gelfand n-widths of multiplier operators of multiple Walsh series are obtained. Upper and lower bounds are established for n-widths of general multiplier operators. These results are applied to get upper and lower bounds
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2040847b16d2848ea634126d4b0a7542
https://doi.org/10.1016/j.jmaa.2019.06.080
https://doi.org/10.1016/j.jmaa.2019.06.080
Publikováno v:
Journal of Approximation Theory. 235:92-115
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cb3e3b05a5bb8b3c64ee334b433e3d18
https://doi.org/10.1016/j.jat.2018.07.001
https://doi.org/10.1016/j.jat.2018.07.001
Publikováno v:
Journal of Complexity. 64:101537
In this work we investigate n -widths of multiplier operators Λ ∗ and Λ , defined for functions on the complex sphere Ω d of ℂ d , associated with sequences of multipliers of the type { λ m , n ∗ } m , n ∈ N , λ m , n ∗ = λ ( m + n )
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c68190beb08f69d958b031653000a422
https://doi.org/10.1016/j.jco.2020.101537
https://doi.org/10.1016/j.jco.2020.101537
Autor:
Sergio Antonio Tozoni, J.G. Oliveira
Publikováno v:
Journal of Mathematical Analysis and Applications. 493:124456
The objective of this article is to construct optimal distribution of data points in the sense of n-widths. We present a concrete method of interpolation using sk-splines which is optimal. For a fixed continuous kernel K on the d-dimensional torus, w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::40f3338b06309a46c751422def9c1ca9
https://doi.org/10.1016/j.jmaa.2020.124456
https://doi.org/10.1016/j.jmaa.2020.124456
Publikováno v:
Journal of Approximation Theory. 183:45-71
In this paper, we investigate n-widths of multiplier operators Λ={λk}k∈Zd and Λ∗={λk∗}k∈Zd, Λ,Λ∗:Lp(Td)→Lq(Td) on the d-dimensional torus Td, where λk=λ(|k|) and λk∗=λ(|k|∗) for a function λ defined on the interval [0,∞),
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1fb832284edd462f7a9e69e692c49832
https://doi.org/10.1016/j.jat.2014.03.014
https://doi.org/10.1016/j.jat.2014.03.014
Publikováno v:
Proceeding Series of the Brazilian Society of Computational and Applied Mathematics.
A teoria de n -larguras foi introduzida por Kolmogorov na decada de 1930. Desde entao, muitos trabalhos tem visado obter estimativas assintoticas para n -larguras de diferentes classes de conjuntos. Neste trabalho, investigamos n -larguras de Kolmogo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f5003f3224b065a6494bbbf8ebaf10c6
https://doi.org/10.5540/03.2015.003.02.0005
https://doi.org/10.5540/03.2015.003.02.0005
Autor:
Sergio Antonio Tozoni, A. K. Kushpel
Publikováno v:
Constructive Approximation. 35:137-180
In this article we continue the development of methods of estimating n-widths and entropy of multiplier operators begun in 1992 by A. Kushpel (Fourier Series and Their Applications, pp. 49–53, 1992; Ukr. Math. J. 45(1):59–65, 1993). Our main aim
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ad1fbf3d657bc97b54da29004aea8f35
https://doi.org/10.1007/s00365-011-9146-7
https://doi.org/10.1007/s00365-011-9146-7
Publikováno v:
Mathematische Nachrichten. 282:748-763
Estimates of Kolmogorov and linear n -widths of Besov classes on compact globally symmetric spaces of rank 1 (i.e., on Sd, Pd (ℝ), Pd (ℂ), Pd (ℍ), P16(Cay)) are established. It is shown that these estimates have sharp orders in different import
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::431139313bcf2429bc15a10b9fa40392
https://doi.org/10.1002/mana.200610768
https://doi.org/10.1002/mana.200610768
Publikováno v:
Journal of Fourier Analysis and Applications. 13:459-475
We find lower bounds for linear and Alexandrov's cowidths of Sobolev's classes on Compact Riemannian homogeneous manifolds \(M^{d}\). Using these results we give an explicit solution of the problem of optimal reconstruction of functions from Sobolev'
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::37a60f7502d0a047266df886a8243ced
https://doi.org/10.1007/s00041-006-6902-3
https://doi.org/10.1007/s00041-006-6902-3
Autor:
Sergio Antonio Tozoni
Publikováno v:
Studia Mathematica. 161:71-97
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3058f86433c44b4849d1bf01dc15211c
https://doi.org/10.4064/sm161-1-5
https://doi.org/10.4064/sm161-1-5