Applications of subsequential Tauberian theory to classical Tauberian theory

✍ Scribed by Filiz Dik; Mehmet Dik; İbrahim Çanak

• Publisher: Elsevier Science
• Year: 2007
• Tongue: English
• Weight: 169 KB
• Volume: 20
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/j.aml.2006.12.002

✦ Synopsis

In this work, we introduce some classical and neoclassical Tauberian-like conditions to retrieve subsequential convergence of a real sequence {u n } and some other sequences related to it out of the boundedness of the sequence {u n }. Consequently we obtain significant information about subsequential behavior of the sequence.