Sh. Azhgaliev, N. Temirgaliev, “Informativeness of Linear Functionals”, Mat. Zametki, 73:6 (2003), 803–812; Math. Notes, 73:6 (2003), 759

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Matematicheskie Zametki, 2003, Volume 73, Issue 6, Pages 803–812
DOI: https://doi.org/10.4213/mzm227 (Mi mzm227)

This article is cited in 10 scientific papers (total in 10 papers)

Informativeness of Linear Functionals

Sh. Azhgaliev, N. Temirgaliev

L. N. Gumilev Eurasian National University

Full-text PDF (228 kB) Citations (10)

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DOI: https://doi.org/10.4213/mzm227

Abstract: In this paper, we study the informativeness of linear functionals in reconstruction problems and obtain exact orders of the informativeness of linear functionals in the Besov and Sobolev classes

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Received: 19.02.2001
Revised: 20.01.2003

English version:
Mathematical Notes, 2003, Volume 73, Issue 6, Pages 759–768
DOI: https://doi.org/10.1023/A:1024037410770

Bibliographic databases:

UDC: 517

Language: Russian

Citation: Sh. Azhgaliev, N. Temirgaliev, “Informativeness of Linear Functionals”, Mat. Zametki, 73:6 (2003), 803–812; Math. Notes, 73:6 (2003), 759–768

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/mzm227

https://doi.org/10.4213/mzm227

https://www.mathnet.ru/eng/mzm/v73/i6/p803

This publication is cited in the following 10 articles:

Galiya Taugynbayeva, Shapen Azhgaliyev, Aksaule Zhubanysheva, Nurlan Temirgaliyev, “Full C(N)D-study of computational capabilities of Lagrange polynomials”, Mathematics and Computers in Simulation, 227 (2025), 189
A. B. Utesov, “Optimal Recovery of Functions from Numerical Information on Them and Limiting Error of the Optimal Computing Unit”, Math. Notes, 111:5 (2022), 759–767
N. Temirgaliyev, Sh. K. Abikenova, Sh. U. Azhgaliev, G. E. Taugynbaeyva, “The Radon transform in the scheme C(N)D-inverstigations and the quasi-Monte Carlo theory”, Russian Math. (Iz. VUZ), 64:3 (2020), 87–92
Sh. U. Azhgaliev, Sh. K. Abikenova, “Ob otsenke snizu v zadache priblizhennogo vosstanovleniya funktsii po ikh znacheniyam preobrazovanii Radona”, Vestn. Tomsk. gos. un-ta. Matem. i mekh., 2020, no. 66, 24–34
N. Temirgaliev, A. Zh. Zhubanysheva, “Computational (Numerical) diameter in a context of general theory of a recovery”, Russian Math. (Iz. VUZ), 63:1 (2019), 79–86
N. Temirgaliev, A. Zhubanysheva, “Order estimates of the norms of derivatives of functions with zero values on linear functionals and their applications”, Russian Math. (Iz. VUZ), 61:3 (2017), 77–82
N. Temirgaliev, K. E. Sherniyazov, M. E. Berikhanova, “Exact Orders of Computational (Numerical) Diameters in Problems of Reconstructing Functions and Sampling Solutions of the Klein–Gordon Equation from Fourier Coefficients”, Proc. Steklov Inst. Math., 282, suppl. 1 (2013), S165–S191
N. Temirgaliev, S. S. Kudaibergenov, A. A. Shomanova, “Applications of Smolyak quadrature formulas to the numerical integration of Fourier coefficients and in function recovery problems”, Russian Math. (Iz. VUZ), 54:3 (2010), 45–62
Ibatulin, IZ, “On the informative power of all possible linear functionals for the discretization of solutions of the Klein-Gordon equation in the metric of L-2,L-infinity”, Differential Equations, 44:4 (2008), 510
Sh. U. Azhgaliev, N. Temirgaliev, “Informativeness of all the linear functionals in the recovery of functions in the classes $H_p^\omega$”, Sb. Math., 198:11 (2007), 1535–1551

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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