An alternative proof of a Tauberian theorem for Abel summability method
Using a corollary to Karamata’s main theorem [Math. Z. 32 (1930), 319-320], we prove that ifa slowly decreasing sequence ofreal numbers is Abel summable, then it is convergent in the ordinary sense.
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| Main Authors: | , |
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| Format: | Digital revista |
| Language: | English |
| Published: |
Universidad Católica del Norte, Departamento de Matemáticas
2016
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| Online Access: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172016000300001 |
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