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Tauberian type theorems and lacunary conditions for Cesàro and Riesz summation methods - MaRDI portal

Tauberian type theorems and lacunary conditions for Cesàro and Riesz summation methods (Q1382598)

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scientific article; zbMATH DE number 1134960
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Tauberian type theorems and lacunary conditions for Cesàro and Riesz summation methods
scientific article; zbMATH DE number 1134960

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    Tauberian type theorems and lacunary conditions for Cesàro and Riesz summation methods (English)
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    29 March 1998
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    The author investigates the relatioship between ``lacunary conditions'' and ``\(o\)-conditions'' of Tauberian type. A result of \textit{G. G. Lorentz} [Trans. Am. Math. Soc. 63, No. 2, 226-234 (1948; Zbl 0032.06001)] is extended for the case of the methods of \((C,\alpha)\), \(\alpha > 0\), summability.
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    Tauberian theorems on summability
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