Matematičeskie zametki, Tome 13 (1973) no. 4, pp. 499-510
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E. A. Sevast'yanov. Some estimates of derivatives of rational functions in integral metrics. Matematičeskie zametki, Tome 13 (1973) no. 4, pp. 499-510. http://geodesic.mathdoc.fr/item/MZM_1973_13_4_a2/
@article{MZM_1973_13_4_a2,
author = {E. A. Sevast'yanov},
title = {Some estimates of derivatives of rational functions in integral metrics},
journal = {Matemati\v{c}eskie zametki},
pages = {499--510},
year = {1973},
volume = {13},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1973_13_4_a2/}
}
TY - JOUR
AU - E. A. Sevast'yanov
TI - Some estimates of derivatives of rational functions in integral metrics
JO - Matematičeskie zametki
PY - 1973
SP - 499
EP - 510
VL - 13
IS - 4
UR - http://geodesic.mathdoc.fr/item/MZM_1973_13_4_a2/
LA - ru
ID - MZM_1973_13_4_a2
ER -
%0 Journal Article
%A E. A. Sevast'yanov
%T Some estimates of derivatives of rational functions in integral metrics
%J Matematičeskie zametki
%D 1973
%P 499-510
%V 13
%N 4
%U http://geodesic.mathdoc.fr/item/MZM_1973_13_4_a2/
%G ru
%F MZM_1973_13_4_a2
Estimates are established in the metric of $L_q$$($0<q<p/(p+1)$, $0<р\le\infty$) of derivatives of a~rational function in terms of the norm of the function itself in the metric of $L_p$. Local norms in $L_p$ are also estimated of Taylor remainders of a~rational function in terms of its norm in $L_p$.
