Zobrazeno 1 - 7
of 7
pro vyhledávání: '"Nadiia Derevianko"'
Autor:
Jürgen Prestin, Nadiia Derevianko
Publikováno v:
ETNA - Electronic Transactions on Numerical Analysis. 52:249-269
This paper is devoted to the study of approximation of Gaussian functions bytheir partial Fourier sums of degree $N \in \mathbb{N}$ with respect to thespherical Gauss-Laguerre (SGL) basis in the weighted Hilbert space$L_2(\mathbb{R}^3, \omega_\lambda
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fb8a06456063153baa32d47c4d5c9f9f
https://doi.org/10.1553/etna_vol52s249
https://doi.org/10.1553/etna_vol52s249
Publikováno v:
PAMM. 21
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5fdb1cbd147be642888d095e629ce403
https://doi.org/10.1002/pamm.202100078
https://doi.org/10.1002/pamm.202100078
Publikováno v:
Sampling Theory, Signal Processing, and Data Analysis. 19
In this paper, we derive a new reconstruction method for real non-harmonic Fourier sums, i.e., real signals which can be represented as sparse exponential sums of the form$$f(t) = \sum _{j=1}^{K} \gamma _{j} \, \cos (2\pi a_{j} t + b_{j})$$f(t)=∑j=
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c5577ce48667e0310e7301d798bb1c53
https://doi.org/10.1007/s43670-021-00007-1
https://doi.org/10.1007/s43670-021-00007-1
Autor:
Gerlind Plonka, Nadiia Derevianko
In this paper we derive a new recovery procedure for the reconstruction of extended exponential sums of the form $y(t) = \sum_{j=1}^{M} \left( \sum_{m=0}^{n_j} \, \gamma_{j,m} \, t^{m} \right) {\mathrm e}^{2\pi \lambda_j t}$, where the frequency para
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::581cbeca045f2117a4430526127bebe3
http://arxiv.org/abs/2103.07743
http://arxiv.org/abs/2103.07743
Autor:
Tino Ullrich, Nadiia Derevianko
This paper is devoted to the question of constructing a higher order Faber spline basis for the sampling discretization of functions with higher regularity than Lipschitz. The basis constructed in this paper has similar properties as the piecewise li
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f5c1166ba8bf148801a7d210aa450d73
Publikováno v:
Journal of Approximation Theory
In this paper we construct an orthogonal trigonometric Schauder basis in the space C ( T 2 ) which has a small growth of the polynomial degree. The polynomial degree is considered in terms of the l 1 - and l ∞ -norm. To construct this basis we use
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f8d6c4d6ab35b91be5e35af1e2c9d036
Publikováno v:
Frontiers in Applied Mathematics and Statistics
In this paper we deal with local Besov spaces of periodic functions of one variable. We characterize these spaces in terms of summability conditions on the coefficients in series expansions of their elements with respect to an orthogonal Schauder bas
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::38bf9d1687c7e8184974146b638519ee