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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2011, Volume 51, Number 8, Pages 1370–1375
(Mi zvmmf9519)
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On the construction of approximations to continuous functions under integral boundary conditions
A. A. Khromov, G. V. Khromova Saratov State University, ul. Astrakhanskaya 83, Saratov, 410026 Russia
Abstract:
On the basis of the resolvent of a simple differential operator, a method for finding approximations to continuous functions is constructed. In this method, both the approximated function and its approximations satisfy the given integral boundary condition
Key words:
approximation of functions, integral conditions, resolvent of a differential operator.
Received: 15.12.2010
Citation:
A. A. Khromov, G. V. Khromova, “On the construction of approximations to continuous functions under integral boundary conditions”, Zh. Vychisl. Mat. Mat. Fiz., 51:8 (2011), 1370–1375; Comput. Math. Math. Phys., 51:8 (2011), 1280–1285
Linking options:
https://www.mathnet.ru/eng/zvmmf9519 https://www.mathnet.ru/eng/zvmmf/v51/i8/p1370
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