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Tauberian theorems for absolute generalised Nörlund summability (Q1611515)

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scientific article; zbMATH DE number 1786357
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English
Tauberian theorems for absolute generalised Nörlund summability
scientific article; zbMATH DE number 1786357

    Statements

    Tauberian theorems for absolute generalised Nörlund summability (English)
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    27 January 2003
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    \textit{G. Das} [Tauberian theorems for absolute Nörlund summability, Proc. Lond. Math. Soc., III. Ser. 19, 357-384 (1969; Zbl 0183.32603)] has studied the relations between different Nörlund and power series methods with respect to absolute summability. The purpose of the present paper is to generalise these results to generalised Nörlund methods. Some inclusion and Tauberian relations between Nörlund, generalised Nörlund, weighted mean and power series methods for absolute summability are given. For the notations and the details of the proofs one has to have the paper of Das at hand as well.
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    Tauberian theorems
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    absolute summability
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    generalised Nörlund methods
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    inclusion
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