Best approximation of the differentiation operator in the space L-2 on the semiaxis / Arestov Vitalii,Filatova Maria // JOURNAL OF APPROXIMATION THEORY. - 2014. - V. 187, l. . - P. 65-81.

ISSN/EISSN:

0021-9045 / 1096-0430

Type:

Article

Abstract:

We solve the problem on the best approximation of the (first-order) differentiation operator by linear bounded operators on the class of twice differentiable functions in the space L-2(0, infinity). The best approximating operator is constructed. The optimal differentiation error is found for twice differentiable functions given with a known error in L-2(0, infinity), and the optimal method is described. (C) 2014 Elsevier Inc. All rights reserved.

Author keywords:

Stechkin's problem; Optimal recovery; Differentiation operator; Semiaxis INEQUALITIES

DOI:

10.1016/j.jat.2014.08.001

Web of Science ID:

ISI:000343623500004

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	NOV
Publisher	ACADEMIC PRESS INC ELSEVIER SCIENCE
Address	525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA
Language	English
EISSN	1096-0430
Keywords-Plus	INEQUALITIES
Research-Areas	Mathematics
Web-of-Science-Categories	Mathematics
Author-Email	vitalii.arestov@urfu.ru ma.filatova@urfu.ru
Funding-Acknowledgement	Program for State Support of Leading Universities of the Russian Federation {[}02.A03.21.0006]
Funding-Text	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).
Number-of-Cited-References	31
Usage-Count-Since-2013	3
Journal-ISO	J. Approx. Theory
Doc-Delivery-Number	AR5KK