|
General Nörlund transforms and Power series methodsDepartment of Stochastics |
General Information
| Author: | Rüdiger Kiesel |
| Appeared in: | Math. Zeitschrift (1993), 214, 273-286 |
| Contact: | kiesel@mathematik.uni-ulm.de |
Abstract
are considered. Here
and we say for a sequence
(sn),
that 
, if
These methods generalize the well known
pairs Cesàro-Abel and Euler-Borel.
The inclusions
are established, as well as the tauberian implication under the
condition sn=O(1).
Furthermore Cesàro convergence with speed is related to
-convergence
generalizing the well known Cesàro to Euler case.
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