N. Temirgaliev, A. Zhubanysheva, “Order estimates of the norms of derivatives of functions with zero values on linear functionals and their applications”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 3, 89–95; Russian Math. (Iz. VUZ), 61:3 (2017), 77

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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 3, Pages 89–95 (Mi ivm9221)

This article is cited in 7 scientific papers (total in 7 papers)

Brief communications

Order estimates of the norms of derivatives of functions with zero values on linear functionals and their applications

N. Temirgaliev, A. Zhubanysheva

L.N. Gumilyov Eurasian National University, 2 Satpayev str., Astana, 010008 Republic of Kazakhstan

Full-text PDF (211 kB) Citations (7)

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Abstract: For the given finite set of linear functionals we construct functions vanishing on them and give order estimates of their derivatives. We also give their different applications.

Keywords: approximate differentiation, informative power of given functional class, computational (numerical) diameter, recovery of functions by inexact information, limiting error.

Received: 26.09.2016

English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2017, Volume 61, Issue 3, Pages 77–82
DOI: https://doi.org/10.3103/S1066369X17030100

Bibliographic databases:

Document Type: Article

UDC: 517.1

Language: Russian

Citation: N. Temirgaliev, A. Zhubanysheva, “Order estimates of the norms of derivatives of functions with zero values on linear functionals and their applications”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 3, 89–95; Russian Math. (Iz. VUZ), 61:3 (2017), 77–82

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/ivm9221

https://www.mathnet.ru/eng/ivm/y2017/i3/p89

This publication is cited in the following 7 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
N. Temirgaliev, Sh. K. Abikenova, Sh. U. Azhgaliev, E. E. Nurmoldin, G. E. Taugynbaeva, A. Zh. Zhubanysheva, “Ekvivalentnost zadach kompyuternoi tomografii c zadachami vosstanovleniya funktsii posredstvom konechnykh svertok v skheme kompyuternogo (vychislitelnogo) poperechnika”, Izv. vuzov. Matem., 2023, no. 12, 95–102
N. Temirgaliyev, Sh. K. Abikenova, Sh. U. Azhgaliyev, Ye. Ye. Nurmoldin, G. E. Taugynbayeva, A. Zh. Zhubanysheva, “Equivalence of Computed Tomography Problem with the Problem of Recovery of Functions by Finite Convolutions in a Scheme of Computational (Numerical) Diameter”, Russ Math., 67:12 (2023), 86
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

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

Известия высших учебных заведений. Математика

Russian Mathematics (Izvestiya VUZ. Matematika)

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References:	58
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