A method of summation of the Fourier-Jacobi series (Q1335987)

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scientific article; zbMATH DE number 652240
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A method of summation of the Fourier-Jacobi series
scientific article; zbMATH DE number 652240

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    A method of summation of the Fourier-Jacobi series (English)
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    10 November 1994
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    It is shown that there exist linear combinations of Cesàro means whose order depends on the parameters of the Jacobi polynomials under consideration, which possess all the characteristic properties of the de la Vallée-Poussin means of the Fourier series with respect to the trigonometric system.
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    Fourier-Jacobi series
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    summation
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    Cesàro means
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    de la Vallée-Poussin means
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