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// Trudy Instituta Matematiki i Mekhaniki UrO RAN
// Archive
Trudy Inst. Mat. i Mekh. UrO RAN,
2005
Volume 11,
Number 2,
Pages
60–71
(Mi timm190)
This article is cited in
4
papers
Markov–Nikol'skii inequality for the spaces
$L_q$
,
$L_0$
on a segment
P. Yu. Glazyrina
Abstract:
For algebraic polynomials of degree
$n$
on a segment, an exact constant is found in the Markov–Nikol'skii inequality
$\|P^{(k)}\|_q\le M_{q,0}(n,k)\|P\|_0$
,
$1\le q\le\infty$
.
UDC:
517.518.86
Received:
03.10.2004
Fulltext:
PDF file (301 kB)
References
Cited by
English version:
Proceedings of the Steklov Institute of Mathematics (Supplement Issues), 2005, suppl. 2,
S104–S116
Bibliographic databases:
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