Complexity of integral equations and relations to \(s\)-numbers (Q2365847)

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Complexity of integral equations and relations to \(s\)-numbers
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    Complexity of integral equations and relations to \(s\)-numbers (English)
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    29 June 1993
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    The author studies the complexity of computing a functional of the solution of a Fredholm integral equation. It is shown that the estimate of the information complexity is equivalent to that of Gelfand numbers of a certain mapping. Upper and lower estimates are discussed and some open problems are presented.
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    \(s\)-numbers
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    functional
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    Fredholm integral equation
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    information complexity
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    Gelfand numbers
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