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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) Russian version article
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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
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”, Russian Acad. Sci. Izv. Math., 42:1 (1994), 173–182
Citation in format AMSBIB
\Bibitem{Myn93}
\by K.~T.~Mynbaev
\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
\jour Russian Acad. Sci. Izv. Math.
\yr 1994
\vol 42
\issue 1
\pages 173--182
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\crossref{https://doi.org/10.1070/IM1994v042n01ABEH001530}
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\zmath{https://zbmath.org/?q=an:0802.45001}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1994IzMat..42..173M}
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  • https://www.mathnet.ru/eng/im/v57/i1/p192
    • This publication is cited in the following 1 articles:
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
     
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