Summability of power series by non-regular Nörlund-methods
✍ Scribed by Karin Stadtmüller
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 492 KB
- Volume
- 68
- Category
- Article
- ISSN
- 0021-9045
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📜 SIMILAR VOLUMES
We consider families A of summability methods which have similar features ␣ Ž . in their construction as the family of Cesaro methods C, ␣ . Abel-type power series methods will be added to those families and inclusion and Tauberian theorems will be proved. The Tauberian and inclusion theorems proved
## Abstract Inclusion, convexity and Tauberian theorems are proved for certain generalized Nörlund methods and power series methods applied to double sequences. Families of summability methods are developed which form a hierarchy of methods and can be used to connect matrix and power series methods