Approximation of the Differentiation Operator by Linear Bounded Operators on the Class of Twice Differentiable Functions in the Space L-2(0,infinity) / Arestov V. V.,Filatova M. A. // PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. - 2014. - V. 284, l. 1. - P. S24-S40.

ISSN/EISSN:
0081-5438 / 1531-8605
Type:
Article
Abstract:
We give an upper estimate for the value of 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). This upper estimate is close to a known lower estimate and improves previously known upper estimates. To prove the upper estimate, we consider a specific family of operators; in this family, we choose an operator that provides the least estimate for the value of the best approximation.
Author keywords:
Stechkin's problem; differentiation operator; semiaxis INEQUALITIES
DOI:
10.1134/S0081543814020035
Web of Science ID:
ISI:000334277400003
Соавторы в МНС:
Другие поля
Поле Значение
Month APR
Publisher MAIK NAUKA/INTERPERIODICA/SPRINGER
Address 233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language English
EISSN 1531-8605
Keywords-Plus INEQUALITIES
Research-Areas Mathematics
Web-of-Science-Categories Mathematics, Applied; Mathematics
Author-Email Vitalii.Arestov@urfu.ru MA.Filatova@urfu.ru
Funding-Acknowledgement Russian Foundation for Basic Research {[}11-01-00462]; Russian Ministry of Education and Science {[}1.1544.2011]; Program for State Support of Leading Universities of the Russian Federation {[}02.A03.21.0006]
Funding-Text This work was supported by the Russian Foundation for Basic Research (project no. 11-01-00462), by the Russian Ministry of Education and Science within a state assignment to higher education institutions to carry out fundamental and applied research (project no. 1.1544.2011), and 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 29
Usage-Count-Last-180-days 2
Usage-Count-Since-2013 11
Journal-ISO Proc. Steklov Inst. Math.
Doc-Delivery-Number AE8UG