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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2011 Volume 51, Number 8, Pages 1370–1375 (Mi zvmmf9519)

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.

UDC: 519.642.8

Received: 15.12.2010


 English version:
Computational Mathematics and Mathematical Physics, 2011, 51:8, 1280–1285

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© Steklov Math. Inst. of RAS, 2024