On trigonometric polynomials least deviating from zero / Arestov V. V.,Mendelev A. S. // DOKLADY MATHEMATICS. - 2009. - V. 79, l. 2. - P. 280-283.

ISSN/EISSN:

1064-5624 / нет данных

Type:

Article

Abstract:

We give a solution of the problem about trigonometric polynomials with a given leading harmonic and least deviating from zero in measure; more precisely, with respect to the functional mu(f (n) ) = mes \{t a {[}0, 2 pi]: |f (n) (t)| a parts per thousand yen 1\}. We give a solution of a related problem about the minimal value over compact sets (from the real line) of a given measure of least uniform deviation from zero on a compact set for trigonometric polynomials with a fixed leading harmonic.

Author keywords:

нет данных

DOI:

10.1134/S1064562409020343

Web of Science ID:

ISI:000265573800034

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	APR
Publisher	MAIK NAUKA/INTERPERIODICA/SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language	English
Research-Areas	Mathematics
Web-of-Science-Categories	Mathematics
Author-Email	Vitalii.Arestov@usu.ru amendelev@gmail.com
Funding-Acknowledgement	Russian Foundation {[}08-01-00213]; Russian Federation {[}NSh-1071.2008.1]
Funding-Text	This work was supported by the Russian Foundation for Basic Research, project no. 08-01-00213, and by the Program for State Support of Leading Scientific Schools of the Russian Federation, project no. NSh-1071.2008.1.
Number-of-Cited-References	11
Usage-Count-Since-2013	1
Journal-ISO	Dokl. Math.
Doc-Delivery-Number	438RT