Some Tauberian theorems for iterations of Hölder integrability method (Q2329004)
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| Language | Label | Description | Also known as |
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| English | Some Tauberian theorems for iterations of Hölder integrability method |
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Some Tauberian theorems for iterations of Hölder integrability method (English)
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17 October 2019
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The authors give Tauberian theorems for the Hölder integrability method. Two Tauberian conditions, slow decrease and slow oscillation, which are well known in the literature, are investigated. The proofs of the results are strongly based upon [\textit{F. Móricz} and \textit{Z. Németh}, Anal. Math. 26, No. 1, 53--61 (2000; Zbl 0964.40002)].
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\((h
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k)\) integrability
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Tauberian theorems
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slowly decreasing functions
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slowly oscillating functions
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