We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
An alternative proof of the generalized Littlewood Tauberian theorem for Cesàro summable double sequences.
- Authors
Fındık, Gökşen; Çanak, İbrahim; Totur, Ümit
- Abstract
In this paper, we first examine the relationships between a double sequence and its arithmetic means in different senses (i. e. (C, 1, 0), (C, 0,1) and (C, 1,1) means) in terms of slow oscillation in certain senses and investigate some properties of oscillatory behaviors of the difference sequence between the double sequence and its arithmetic means in different senses. Next, we give an alternative proof of the generalized Littlewood Tauberian theorem for Cesaro summability method as an application of the results obtained in the first part.
- Subjects
TAUBERIAN theorems; ARITHMETIC mean; OSCILLATIONS; EVIDENCE
- Publication
Tbilisi Mathematical Journal, 2019, Vol 12, Issue 1, p131
- ISSN
1875-158X
- Publication type
Article
- DOI
10.32513/tbilisi/1553565632