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, Number 3,Pages <nobr>89

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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.

UDC: 517.1

Received: 26.09.2016