Methods for the summation of certain families of series
β Scribed by I. J. Schwatt
- Publisher
- Springer Vienna
- Year
- 1930
- Tongue
- English
- Weight
- 250 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0026-9255
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π SIMILAR VOLUMES
We consider families A of summability methods which have similar features β£ Ε½ . in their construction as the family of Cesaro methods C, β£ . 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 present paper, the authors introduce and investigate a new sequence of linear positive operators G,,,, which includes some well-known operators as its special cases. The results obtained here include an estimate on the rate of convergence of G,,,= (f, I) by means of the decomposition techniqu