Sharp Inequalities for Trigonometric Polynomials with Respect to Integral Functionals / Arestov V. V. // PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. - 2011. - V. 273, l. 1. - P. S21-S36.

ISSN/EISSN:

0081-5438 / нет данных

Type:

Article

Abstract:

The problem on sharp inequalities for linear operators on the set of trigonometric polynomials with respect to integral functionals integral(2 pi)(0) phi(vertical bar f(x)vertical bar) dx is discussed. A solution of the problem on trigonometric polynomials with given leading harmonic of least deviation from zero with respect to such functionals over the set of all functions phi defined, nonnegative, and nondecreasing on the semiaxis {[}0,+infinity) is given.

Author keywords:

sharp inequalities for trigonometric polynomials; integral functional; trigonometric polynomials of least deviation from zero BERNSTEINS INEQUALITY; LP; 0-LESS-THAN-P-LESS-THAN-1; ZERO

DOI:

10.1134/S0081543811050038

Web of Science ID:

ISI:000305481300003

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	JUL
Publisher	MAIK NAUKA/INTERPERIODICA/SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language	English
Keywords-Plus	BERNSTEINS INEQUALITY; LP; 0-LESS-THAN-P-LESS-THAN-1; ZERO
Research-Areas	Mathematics
Web-of-Science-Categories	Mathematics, Applied; Mathematics
Author-Email	Vitalii.Arestov@usu.ru
Funding-Acknowledgement	Russian Foundation for Basic Research {[}08-01-00213]
Funding-Text	This work was supported by the Russian Foundation for Basic Research (project no. 08-01-00213).
Number-of-Cited-References	37
Usage-Count-Since-2013	3
Journal-ISO	Proc. Steklov Inst. Math.
Doc-Delivery-Number	961QG