We consider families A of summability methods which have similar features โฃ ลฝ . in their construction as the family of Cesaro methods C, โฃ . 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
โฆ LIBER โฆ
On relations between weighted mean and power series methods of summability
โ Scribed by David Borwein; Werner Kratz
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 312 KB
- Volume
- 139
- Category
- Article
- ISSN
- 0022-247X
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## Abstract Inclusion, convexity and Tauberian theorems are proved for certain generalized Nรถrlund 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
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