One-sided approximation in~$L$ of the characteristic function of an interval by trigonometric polynomials
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 1, pp. 82-95
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For arbitrary $0$, the value of the best one-sided integral approximation of the characteristic function of the interval $(-h,h)$ by trigonometric polynomials of a given degree is found.
Keywords:
one-sided integral approximation of functions by polynomials.
@article{TIMM_2012_18_1_a6,
author = {A. G. Babenko and Yu. V. Kryakin and V. A. Yudin},
title = {One-sided approximation in~$L$ of the characteristic function of an interval by trigonometric polynomials},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {82--95},
publisher = {mathdoc},
volume = {18},
number = {1},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2012_18_1_a6/}
}
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%0 Journal Article %A A. G. Babenko %A Yu. V. Kryakin %A V. A. Yudin %T One-sided approximation in~$L$ of the characteristic function of an interval by trigonometric polynomials %J Trudy Instituta matematiki i mehaniki %D 2012 %P 82-95 %V 18 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TIMM_2012_18_1_a6/ %G ru %F TIMM_2012_18_1_a6
A. G. Babenko; Yu. V. Kryakin; V. A. Yudin. One-sided approximation in~$L$ of the characteristic function of an interval by trigonometric polynomials. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 1, pp. 82-95. http://geodesic.mathdoc.fr/item/TIMM_2012_18_1_a6/