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Tauberian conditions for almost convergence

✍ Scribed by Meng-Kuang Kuo


Publisher
Springer
Year
2008
Tongue
English
Weight
208 KB
Volume
13
Category
Article
ISSN
1385-1292

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Tauberian conditions under which converg
✍ Ümit Totur; Δ°brahim Γ‡anak πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 241 KB

In this work we prove that one-sided slow oscillation of a sequence and that of its generator sequence are Tauberian conditions for the Abel summability method, using a corollary to Karamata's Main Theorem [J. Karamata, Über die Hardy-Littlewoodschen Umkehrungen des Abelschen Stetigkeitssatzes, Math