Geodesic
On the construction of approximations to continuous functions under integral boundary conditions
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 8, pp. 1370-1375

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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 
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     title = {On the construction of approximations to continuous functions under integral boundary conditions},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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A. A. Khromov; G. V. Khromova. On the construction of approximations to continuous functions under integral boundary conditions. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 8, pp. 1370-1375. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_8_a1/