Integral representations for Padé-type operators (Q1608812)

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scientific article; zbMATH DE number 1780541
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Integral representations for Padé-type operators
scientific article; zbMATH DE number 1780541

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    Integral representations for Padé-type operators (English)
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    13 August 2002
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    The author considers an explicit form of the Padé-type operators. To do this is considered the representation of Padé-type approximants to the Fourier series of the harmonic functions in the open disk and of the \(L^p\)-functions on the circle by means of integral-formulas and then defined the corresponding Padé-type operators. Properties of these integral operators are studied and some convergence results are proved.
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    Padé type operators
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    integral operators
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    interpolation
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    convergence
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