Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 4, pp. 1423-1426
Citer cet article
M. A. Nazarenko. On the best local nonglobal rational approximation in the space $H_2$. Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 4, pp. 1423-1426. http://geodesic.mathdoc.fr/item/FPM_1998_4_4_a18/
@article{FPM_1998_4_4_a18,
author = {M. A. Nazarenko},
title = {On the~best local nonglobal rational approximation in the~space~$H_2$},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {1423--1426},
year = {1998},
volume = {4},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_1998_4_4_a18/}
}
TY - JOUR
AU - M. A. Nazarenko
TI - On the best local nonglobal rational approximation in the space $H_2$
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 1998
SP - 1423
EP - 1426
VL - 4
IS - 4
UR - http://geodesic.mathdoc.fr/item/FPM_1998_4_4_a18/
LA - ru
ID - FPM_1998_4_4_a18
ER -
%0 Journal Article
%A M. A. Nazarenko
%T On the best local nonglobal rational approximation in the space $H_2$
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 1998
%P 1423-1426
%V 4
%N 4
%U http://geodesic.mathdoc.fr/item/FPM_1998_4_4_a18/
%G ru
%F FPM_1998_4_4_a18
For any natural number $k$ the function from the Hardy space $H_2$ is found that its rational approximation of $(k,1)$ degree with pole in $1/\sqrt{2}$ gives the best local nonglobal approximation in the set of all rational functions of $(k,1)$ degree.
