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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 3, Pages 89–95
(Mi ivm9221)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/ivm9221 https://www.mathnet.ru/eng/ivm/y2017/i3/p89
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