On the polynomials, the least deviating from zero in $L[-1,1]$ metrics
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 2 (1999) no. 3, pp. 223-238
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For polynomials, the least deviating from zero in $L[-1,1]$ metrics with given number of leading coefficients,
it is obtained the representation through the so-called extremal polynomials of the least deviation, whose
number of sign changes is equal to their degree. The instruments of effective calculating of these polynomials are represented.
@article{SJVM_1999_2_3_a2,
author = {V. \`E. Gheit},
title = {On the polynomials, the least deviating from zero in $L[-1,1]$ metrics},
journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
pages = {223--238},
publisher = {mathdoc},
volume = {2},
number = {3},
year = {1999},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/SJVM_1999_2_3_a2/}
}
V. È. Gheit. On the polynomials, the least deviating from zero in $L[-1,1]$ metrics. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 2 (1999) no. 3, pp. 223-238. http://geodesic.mathdoc.fr/item/SJVM_1999_2_3_a2/