A generalization of the Archimedean double sequence
β Scribed by D.M.E. Foster; G.M. Phillips
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 279 KB
- Volume
- 101
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A generalization of Farey sequences to quadratic irrational numbers is given, for which the (fundamental) discriminant property of Farey sequences is shown to hold on average. This is the first positive result connected with a phenomenon observed by H. Brown and K. Mahler more than 20 years ago. 199
In 1900 Pringsheim presented the following notion of convergence for double sequences: a double sequence [x] converges to L provided that given Ο΅ > 0 there exists K β N such that |x k,l -L| < Ο΅ whenever k, l > K . Using this definition Hamilton, in 1926 and, respectively, presented the following de
## Abstract Inclusion, convexity and Tauberian theorems are proved for certain generalized NΓΆrlund 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