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Some one-sided conditions under which subsequential convergence follows from summability method

✍ Scribed by Ümit Totur; İbrahim Çanak; Mehmet Dik

Book ID
108052607
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
211 KB
Volume
24
Category
Article
ISSN
0893-9659

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📜 SIMILAR VOLUMES

Some conditions under which subsequentia
Some conditions under which subsequential convergence follows from boundedness
✍ İbrahim C̣anak; Mehmet Dik 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 164 KB

Let (u n ) be a sequence of real numbers. We obtain some Tauberian-like conditions in terms of the general control modulo of integer order to retrieve subsequential convergence of (u n ) from the boundedness of (u n ).

Tauberian conditions under which converg
Tauberian conditions under which convergence follows from Abel summability
✍ 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