The story of majorizability as Karamata's condition of convergence for Abel summable series (Q1045851)
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scientific article; zbMATH DE number 5648712
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The story of majorizability as Karamata's condition of convergence for Abel summable series |
scientific article; zbMATH DE number 5648712 |
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The story of majorizability as Karamata's condition of convergence for Abel summable series (English)
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16 December 2009
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The Serbian mathematician Jovan Karamata gained world-fame after his elegant proof of the Hardy-Littlewood Tauberian theorem. This paper presents the development of his ideas relating to this proof, particularly this work on the majorizability of sequences as a generalisation of various conditions of summability. In particular, Karamata's conditions of convergence, as presented in [\textit{J. Karamata}, Glas CXLIII (70), 3--24, 121--146 (1931; JFM 57.1378.01)], and the communications connected to their establishment are described.
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Jovan Karamata
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Tauberian theorems
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Hardy-Littlewood theorem
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Abel summability
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Césaro summability
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majorizability
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0.85063046
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0.85030437
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0.8331105
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