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This article is cited in 1 scientific paper (total in 1 paper)
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
K. T. Mynbaev
Abstract:
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.
Received: 19.03.1991
Citation:
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”, Izv. RAN. Ser. Mat., 57:1 (1993), 192–201; Russian Acad. Sci. Izv. Math., 42:1 (1994), 173–182
Linking options:
https://www.mathnet.ru/eng/im896https://doi.org/10.1070/IM1994v042n01ABEH001530 https://www.mathnet.ru/eng/im/v57/i1/p192
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Abstract page: | 386 | Russian version PDF: | 113 | English version PDF: | 16 | References: | 71 | First page: | 2 |
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