ALGEBRAIC POLYNOMIALS LEAST DEVIATING FROM ZERO IN MEASURE ON A SEGMENT / Arestov V. V. // UKRAINIAN MATHEMATICAL JOURNAL. - 2010. - V. 62, l. 3. - P. 331-342.

ISSN/EISSN:

0041-5995 / нет данных

Type:

Article

Abstract:

We investigate the problem of algebraic polynomials with given leading coefficients that deviate least from zero on the segment {[}-1, 1] with respect to a measure, or, more precisely, with respect to the functional mu(f) = mes\{x is an element of {[}-1, 1]: vertical bar f(x)vertical bar >= 1\}. We also discuss an analogous problem with respect to the integral functionals integral(1)(-1) phi (vertical bar f(x)vertical bar) dx for functions phi that are defined, nonnegative, and nondecreasing on the semiaxis {[}0, +infinity).

Author keywords:

нет данных

DOI:

нет данных

Web of Science ID:

ISI:000283135500001

Соавторы в МНС:

—

Другие поля

Поле	Значение
Month	OCT
Publisher	SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013 USA
Language	English
Research-Areas	Mathematics
Web-of-Science-Categories	Mathematics, Applied; Mathematics
Funding-Acknowledgement	Russian Foundation for Fundamental Research {[}08-01-00213]; Scientific Schools of the Russian Federation {[}NSh-3208.2010.1]
Funding-Text	This work was supported by the Russian Foundation for Fundamental Research (grant No. 08-01-00213) and the State Program for Support of Leading Scientific Schools of the Russian Federation (grant No. NSh-3208.2010.1).
Number-of-Cited-References	11
Usage-Count-Since-2013	1
Journal-ISO	Ukr. Math. J.
Doc-Delivery-Number	666RH