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On Scales of Summability Methods

✍ Scribed by Rüdiger Kiesel

Publisher
John Wiley and Sons
Year
1995
Tongue
English
Weight
402 KB
Volume
176
Category
Article
ISSN
0025-584X

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✦ Synopsis

In this paper we consider generalized Norlund methods (Nap), a > -1, power series methods (J,) and the iteration product of two such methods. A particular case is that of the Cesaro means (C,) 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 Cesaro-Abel case, for a rich class of methods of the above type.

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