Geodesic
On approximation of integral operators, their kernels, and solutions of Fredholm integral equations of the second kind in connection with an operator of Sturm-Liouville type
Izvestiya. Mathematics , Tome 42 (1994) no. 1, pp. 173-182

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Best possible estimates of the degree of approximation are found for integral operators by finite-dimensional operators, for kernels of integral operators by bilinear expressions, and for solutions of Fredholm integral equations of the second kind by solutions of finite-dimensional problems. The class of integral operators includes the trace-class resolvent of a Sturm–Liouville operator on the whole line. 
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     author = {K. T. Mynbaev},
     title = {On approximation of integral operators, their kernels, and solutions of {Fredholm} integral equations of the second kind in connection with an operator of {Sturm-Liouville} type},
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K. T. Mynbaev. On approximation of integral operators, their kernels, and solutions of Fredholm integral equations of the second kind in connection with an operator of Sturm-Liouville type. Izvestiya. Mathematics , Tome 42 (1994) no. 1, pp. 173-182. http://geodesic.mathdoc.fr/item/IM2_1994_42_1_a9/