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JOURNALS // 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


 English version:
Proceedings of the Steklov Institute of Mathematics (Supplement Issues), 2005, suppl. 2, S104–S116

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