Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (1983), pp. 43-52
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M. K. Potapov. Approximation by algebraic polynomials in an integral metric with Jacobi weight. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (1983), pp. 43-52. http://geodesic.mathdoc.fr/item/VMUMM_1983_4_a7/
@article{VMUMM_1983_4_a7,
author = {M. K. Potapov},
title = {Approximation by algebraic polynomials in an integral metric with {Jacobi} weight},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {43--52},
year = {1983},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_1983_4_a7/}
}
TY - JOUR
AU - M. K. Potapov
TI - Approximation by algebraic polynomials in an integral metric with Jacobi weight
JO - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY - 1983
SP - 43
EP - 52
IS - 4
UR - http://geodesic.mathdoc.fr/item/VMUMM_1983_4_a7/
LA - ru
ID - VMUMM_1983_4_a7
ER -
%0 Journal Article
%A M. K. Potapov
%T Approximation by algebraic polynomials in an integral metric with Jacobi weight
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 1983
%P 43-52
%N 4
%U http://geodesic.mathdoc.fr/item/VMUMM_1983_4_a7/
%G ru
%F VMUMM_1983_4_a7
The paper contains a proof of Jackson's theorem and its converse on the relationship between the generalized moduli of continuity of functions and their best approximations by algebraic polynomials.