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.
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G. V. Khromova, “Approximating Properties of Resolvents of Differential Operators in the Approximation Problem for Functions and Their Derivatives,” Zh. Vychisl. Mat. Mat. Fiz. 38, 1106–1113 (1998) [Comput. Math. Math. Phys. 38, 1057–1064 (1998)].
A. A. Khromov, “Approximating Properties of the Powers of the Resolvent of Differentiation Operator,” Izv. Saratovskogo Univ., Ser. Mat., Mekh., Inform. 9(3), 75–78 (2009).
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Original Russian Text © A.A. Khromov, G.V. Khromova, 2011, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2011, Vol. 51, No. 8, pp. 1370–1375.
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Khromov, A.A., Khromova, G.V. On the construction of approximations to continuous functions under integral boundary conditions. Comput. Math. and Math. Phys. 51, 1280–1285 (2011). https://doi.org/10.1134/S0965542511060121
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DOI: https://doi.org/10.1134/S0965542511060121