Some Tauberian theorems for Euler and Borel summability
The well-known summability methods of Euler and Borel are studied as mappings from ℓ1 into ℓ1. In this ℓ−ℓ setting, the following Tauberian results are proved: if x is a sequence that is mapped into ℓ1 by the Euler-Knopp method Er with r>0 (or the Borel matrix method) and x satisfies ∑n=0∞|xn−xn+1|n...
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| Hlavní autoři: | , |
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| Médium: | Artigo |
| Jazyk: | Inglês |
| Vydáno: |
Wiley
1980-01-01
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| Edice: | International Journal of Mathematics and Mathematical Sciences |
| Témata: | |
| On-line přístup: | http://dx.doi.org/10.1155/S0161171280000531 |
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