Theorems of Tauberian type for matrix transformations of double series (Q1177778)
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scientific article; zbMATH DE number 21091
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Theorems of Tauberian type for matrix transformations of double series |
scientific article; zbMATH DE number 21091 |
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Theorems of Tauberian type for matrix transformations of double series (English)
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26 June 1992
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A well-known Tauberian theorem states that if a series \(\sum^ \infty_{n=1}a_ n\) is Cesaro summable and \(a_ n=O(n^{-1})\) then the series is convergent. The author proves a similar Tauberian theorem for double series involving certain double matrix sums.
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Tauberian theorem
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Cesaro summable
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double series
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double matrix sums
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