Geodesic
Order estimates of the norms of derivatives of functions with zero values on linear functionals and their applications
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2017), pp. 89-95

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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. 
@article{IVM_2017_3_a9,
     author = {N. Temirgaliev and A. Zhubanysheva},
     title = {Order estimates of the norms of derivatives of functions with zero values on linear functionals and their applications},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {89--95},
     publisher = {mathdoc},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2017_3_a9/}
}
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N. Temirgaliev; A. Zhubanysheva. Order estimates of the norms of derivatives of functions with zero values on linear functionals and their applications. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2017), pp. 89-95. http://geodesic.mathdoc.fr/item/IVM_2017_3_a9/