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Russian Academy of Sciences. Izvestiya Mathematics, 1994, Volume 42, Issue 1, Pages 173–182
DOI: https://doi.org/10.1070/IM1994v042n01ABEH001530 (Mi im896) 		 
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
English version PDF (444 kB) Citations (1)
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DOI: https://doi.org/10.1070/IM1994v042n01ABEH001530
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
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1993, Volume 57, Issue 1, Pages 192–201
Bibliographic databases:
UDC: 513.88
MSC: Primary 45P05, 45B05, 45L05; Secondary 47G10, 34B24
Language: English
Original paper language: Russian
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
Citation in format AMSBIB
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\issue 1
\pages 192--201
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\transl
\jour Russian Acad. Sci. Izv. Math.
\yr 1994
\vol 42
\issue 1
\pages 173--182
\crossref{https://doi.org/10.1070/IM1994v042n01ABEH001530}
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  • https://www.mathnet.ru/eng/im/v57/i1/p192
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Russian version PDF:113
    English version PDF:16
    References:71
    First page:2
     
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