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Some relations between Nörlund and Abel summability |
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| Authors: | J. R. Nurcombe |
| Affiliation: | South Birmingham College, Cole Bank Road, Hall Green, Birmingham B28 8ES, England |
| Abstract: | The definition of generalised Abel summability is extended to positive orders and a definition of strong generalised Abel summability is introduced. A result of Jurkat and Peyerimhoff concerning the implication between Nörlund and generalised Abel summabilities is extended to positive integral order. Analogous results for the corresponding strong methods are also given. |
| Keywords: | Summability, strong, N" orlund, Abel, convergence, sequence |
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