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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


On Certain Families of Generalized Nörlu
✍ U. Stadtmüller; A. Tali 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 165 KB

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

A family of generalized Nörlund methods
✍ Ulrich Stadtmüller; Anne Tali 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 196 KB

## 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