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Conditions of equivalence of the cesaro and the Abel-Poisson methods of summation of unbounded sequences

✍ Scribed by N. A. Davydov


Book ID
112479574
Publisher
Springer
Year
1975
Tongue
English
Weight
319 KB
Volume
27
Category
Article
ISSN
0041-5995

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Equivalence of methods for the summation
✍ Richard F. Patterson πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 196 KB

In 1900 Pringsheim presented the following notion of convergence for double sequences: a double sequence [x] converges to L provided that given ϡ > 0 there exists K ∈ N such that |x k,l -L| < ϡ whenever k, l > K . Using this definition Hamilton, in 1926 and, respectively, presented the following de