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Tauberian conditions, under which statistical convergence follows from statistical summability (C,1)

✍ Scribed by Ferenc Móricz


Book ID
111714202
Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
95 KB
Volume
275
Category
Article
ISSN
0022-247X

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Tauberian conditions under which converg
✍ Ümit Totur; İbrahim Çanak 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 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