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Properties of Cesàro means for generalized orthosimilar nonnegative expansion systems - MaRDI portal

Properties of Cesàro means for generalized orthosimilar nonnegative expansion systems (Q1405912)

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scientific article; zbMATH DE number 1977038
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English
Properties of Cesàro means for generalized orthosimilar nonnegative expansion systems
scientific article; zbMATH DE number 1977038

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    Properties of Cesàro means for generalized orthosimilar nonnegative expansion systems (English)
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    8 September 2003
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    Classical results [\textit{G. Alexits}, Convergence problems of orthogonal series (Inostr. Literatura, Moscow) (1963; Zbl 0114.27104) and (Pergamon Press, New York, etc.) (1961; Zbl 0098.27403); \textit{S. Kachmazh} and \textit{G. Shteingaus}, Theory of orthogonal series (GIFML, Moscow) (1958)] are extended to the generalized orthosimilar nonnegative systems [\textit{T. P. Lukashenko}, Vestn. Mosk. Univ., Ser. I 1998, 6-10 (1998; Zbl 1029.42024)]. Some results on summability of orthogonal series by the Cesàro means methods are presented.
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    orthosimilar systems
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    extension
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    summation
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