Estimates of best approximations of periodic function by linear combinations values of the function itself and its primitives
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 27, Tome 404 (2012), pp. 157-174
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The general theorems which allow to obtain some estimates of best approximations of periodic function by deviations of aggregates composed of approximated function and its primitives are established. Several examples of applications are given.
@article{ZNSL_2012_404_a8,
author = {V. V. Zhuk},
title = {Estimates of best approximations of periodic function by linear combinations values of the function itself and its primitives},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {157--174},
publisher = {mathdoc},
volume = {404},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2012_404_a8/}
}
TY - JOUR AU - V. V. Zhuk TI - Estimates of best approximations of periodic function by linear combinations values of the function itself and its primitives JO - Zapiski Nauchnykh Seminarov POMI PY - 2012 SP - 157 EP - 174 VL - 404 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZNSL_2012_404_a8/ LA - ru ID - ZNSL_2012_404_a8 ER -
%0 Journal Article %A V. V. Zhuk %T Estimates of best approximations of periodic function by linear combinations values of the function itself and its primitives %J Zapiski Nauchnykh Seminarov POMI %D 2012 %P 157-174 %V 404 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZNSL_2012_404_a8/ %G ru %F ZNSL_2012_404_a8
V. V. Zhuk. Estimates of best approximations of periodic function by linear combinations values of the function itself and its primitives. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 27, Tome 404 (2012), pp. 157-174. http://geodesic.mathdoc.fr/item/ZNSL_2012_404_a8/