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JOURNALS
// Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya
// Archive
Izv. Akad. Nauk SSSR Ser. Mat.,
1972
Volume 36,
Issue 1,
Pages
234–239
(Mi im2295)
On approximation of
$l$
-smooth functions by rational functions in the integral metric
L. D. Ivanov
Abstract:
In this paper it is proved that, roughly speaking, the rapidity of approximation of
$l$
-smooth functions of
$n$
variables by rational functions that depend on parameters is the same in the integral metric as in the uniform metric.
UDC:
517.5
MSC:
Primary
41A25
; Secondary
41A20
Received:
29.04.1971
Fulltext:
PDF file (529 kB)
References
English version:
Mathematics of the USSR-Izvestiya, 1972,
6
:1,
235–240
Bibliographic databases:
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Steklov Math. Inst. of RAS
, 2024