## 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
On Certain Families of Generalized Nörlund Methods and Power Series Methods
✍ Scribed by U. Stadtmüller; A. Tali
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 165 KB
- Volume
- 238
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
✦ Synopsis
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 in the w Ž .
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