A Note on Strong Nörlund Summability
✍ Scribed by M.L. Mittal; Rajesh Kumar
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 125 KB
- Volume
- 199
- Category
- Article
- ISSN
- 0022-247X
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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
The paper deals with approximation properties of JAcoBI-FOURIER-expansions in dependence of smoothness properties of the treated functions. Such relations are wellknown for trigonometrical series, we refer to LEINDLER [6], [7], OSKOLKOV [9], SCHMEIS-SER and SICKEL [ll]. In the same way as in the pa
## 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