نوع الوثيقة |
: |
مقال في مجلة دورية |
عنوان الوثيقة |
: |
Tauberian theorems for statistically convergent double sequences Tauberian theorems for statistically convergent double sequences |
الموضوع |
: |
رياضيات |
لغة الوثيقة |
: |
الانجليزية |
المستخلص |
: |
In [F. Moricz, Tauberian theorems for Cesàro summable double sequences, Studia Math. 110 (1994) 83-96], Moricz has proved some Tauberian theorems for Cesàro summable double sequences and deduced the Tauberian theorems of Landau [E. Landau, Über die Bedeutung einiger neuerer Grenzwertsätze der Herren Hardy and Axer, Prac. Mat.-Fiz. 21 (1910) 97-177] and Hardy [G.H. Hardy, Divergent Series, Univ. Press, Oxford 1956] type. In [J.A. Fridy, M.K. Khan, Statistical extension of some classical Tauberian theorems, Proc. Amer. Math. Soc. 128 (2000) 2347-2355], Fridy and Khan have given statistical extensions of some classical Tauberian theorems. The concept of statistical convergence for double sequences has recently been introduced by Mursaleen and Edely [M. Mursaleen, Osama H. H. Edely, Statistical convergence of double sequences, J. Math. Anal. Appl. 288 (2003) 223-231] and by Moricz [F. Moricz, Statistical convergence of multiple sequences, Arch. Math. 81 (2003) 82-89] independently. In this paper we give some Tauberian theorems for statistically convergent double sequences. We have also provided some examples including an example to Problem 1 of Moricz [F. Moricz, Tauberian theorems for Cesàro summable double sequences, Studia Math. 110 (1994) 83-96]. |
ردمد |
: |
0020-0255 |
اسم الدورية |
: |
Information Sciences |
المجلد |
: |
176 |
العدد |
: |
7 |
سنة النشر |
: |
1427 هـ
2006 م |
نوع المقالة |
: |
مقالة علمية |
تاريخ الاضافة على الموقع |
: |
Tuesday, December 27, 2011 |
|
الباحثون
Osama H.H Edely | Edely, Osama H.H | باحث | دكتوراه | osamaedely@yahoo.com |
محمد مرسلين | Mursaleen, Mohammad | باحث | دكتوراه | mursaleenm@gmail.com |
|