The best approximation to a class of functions of several variables by another class and related extremum problems / Arestov VV // MATHEMATICAL NOTES. - 1998. - V. 64, l. 3-4. - P. 279-294.

ISSN/EISSN:

0001-4346 / нет данных

Type:

Article

Abstract:

We study the relationship between several extremum problems for unbounded linear operators of convolution type in the spaces L-gamma = L-gamma(R-m), m greater than or equal to 1, 1 less than or equal to gamma less than or equal to infinity. For the problem of calculating the modulus of continuity of the convolution operator A on the function class Q defined by a similar operator and for the Stechkin problem on the best approximation of the operator A on the class Q by bounded linear operators, we construct dual problems in dual spaces, which are the problems on, respectively, the best and the worst approximation to a class of functions by another class.

Author keywords:

function space; convolution operator; Stechkin problem; linear operator; function class; best approximation; modulus of continuity

DOI:

нет данных

Web of Science ID:

ISI:000079258700001

Соавторы в МНС:

—

Другие поля

Поле	Значение
Month	SEP-OCT
Publisher	PLENUM PUBL CORP
Address	CONSULTANTS BUREAU, 233 SPRING ST, NEW YORK, NY 10013 USA
Language	English
Research-Areas	Mathematics
Web-of-Science-Categories	Mathematics
Number-of-Cited-References	28
Usage-Count-Since-2013	1
Journal-ISO	Math. Notes
Doc-Delivery-Number	178GW