Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 9 (2002) no. 2, pp. 268-271
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Mikhail I. Kadets. Two problems concerning uniform polynomial approximation of continuous functions. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 9 (2002) no. 2, pp. 268-271. http://geodesic.mathdoc.fr/item/JMAG_2002_9_2_a13/
@article{JMAG_2002_9_2_a13,
author = {Mikhail I. Kadets},
title = {Two problems concerning uniform polynomial approximation of continuous functions},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {268--271},
year = {2002},
volume = {9},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JMAG_2002_9_2_a13/}
}
TY - JOUR
AU - Mikhail I. Kadets
TI - Two problems concerning uniform polynomial approximation of continuous functions
JO - Žurnal matematičeskoj fiziki, analiza, geometrii
PY - 2002
SP - 268
EP - 271
VL - 9
IS - 2
UR - http://geodesic.mathdoc.fr/item/JMAG_2002_9_2_a13/
LA - en
ID - JMAG_2002_9_2_a13
ER -
%0 Journal Article
%A Mikhail I. Kadets
%T Two problems concerning uniform polynomial approximation of continuous functions
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 2002
%P 268-271
%V 9
%N 2
%U http://geodesic.mathdoc.fr/item/JMAG_2002_9_2_a13/
%G en
%F JMAG_2002_9_2_a13
We remind two theorems closely connected with the fundamental P. L. Chebyshev's theorem on the best approximation of functions by polynomials, namely S. N. Bernstein's theorem on reconstruction of a function by its deviations from polynomials, and the author's one on distribution of Chebyshev's alternance points. In connection with this two results two open (in author's opinion) problems are formulated.
