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On scales of summability methodsDepartment of Stochastics |
General Information
| Author: | Rüdiger Kiesel |
| To appear in: | Mathematische Nachrichten |
| Contact: | kiesel@mathematik.uni-ulm.de |
Abstract
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| University of Ulm, Faculty of Mathematics and Economics | |||||||
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Abstract |
In this paper we consider generalized Nörlund methods (Nap), a >-1, power series methods (Jp) and the iteration product of two such methods. A particular case is that of the Cesàro means (Ca) with corresponding power series method (A), i.e. Abel's method. We obtain generalizations of inclusion and tauberian and convexity theorems, which are well-known for the Cesàro-Abel case, for a rich class of methods of the above type. | ||||||
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Alexander Schöne -- Last update: May 15, 1997