Sharp Markov-Nikol'skii inequality with respect to the uniform norm and the integral norm with Chebyshev weight

Please use this identifier to cite or link to this item: http://elar.urfu.ru/handle/10995/75441

Title:	Sharp Markov-Nikol'skii inequality with respect to the uniform norm and the integral norm with Chebyshev weight
Authors:	Simonov, I. E. Glazyrina, P. Y.
Issue Date:	2015
Publisher:	Academic Press Inc.
Citation:	Simonov I. E. Sharp Markov-Nikol'skii inequality with respect to the uniform norm and the integral norm with Chebyshev weight / I. E. Simonov, P. Y. Glazyrina // Journal of Approximation Theory. — 2015. — Vol. 192. — P. 69-81.
Abstract:	We study the inequality between the uniform norm of the derivative of an algebraic polynomial of degree n and the integral norm of this polynomial with Chebyshev weight on a closed interval. We found exact constants and extremal polynomials for derivatives of any order. © 2014 Elsevier Inc.
Keywords:	ALGEBRAIC POLYNOMIAL MARKOV TYPE INEQUALITIES NIKOL'SKII TYPE INEQUALITIES
URI:	http://elar.urfu.ru/handle/10995/75441
Access:	info:eu-repo/semantics/openAccess publisher-specific-oa hybrid
SCOPUS ID:	84920276417
WOS ID:	000351253600004
PURE ID:	383639
ISSN:	0021-9045
DOI:	10.1016/j.jat.2014.10.009
Sponsorship:	The authors would like to thank the referees for reading the paper carefully and valuable comments. This work was supported by the Program for State Support of Leading Universities of the Russian Federation (agreement no. 02.A03.21.0006 of August 27, 2013).
Appears in Collections:	Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC

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