تفاصيل الوثيقة
نوع الوثيقة |
: |
مقال في مجلة دورية |
عنوان الوثيقة |
: |
Some generalizations of the space b vp of p-bounded variation sequences Some generalizations of the space b vp of p-bounded variation sequences |
الموضوع |
: |
رياضيات |
لغة الوثيقة |
: |
الانجليزية |
المستخلص |
: |
The spaces bvp and bv∞ of sequences of p-bounded variation have recently been introduced by Başar and Altay [F. Başar, B. Altay, On the space of sequences of p-bounded variation and related matrix mappings, Ukrainian Math. J. 55 (1) (2003) 136–147], where 1≤p<∞. In the present paper, the sequence spaces bv(u,p) and bv∞(u,p) of non-absolute type have been defined and it has been proved that the spaces bv(u,p) and bv∞(u,p) are linearly isomorphic to the spaces ℓ(p) and ℓ∞(p) of Maddox, respectively. Besides this, the α-, β- and γ-duals of the spaces bv(u,p) and bv∞(u,p) have been computed and the basis of the space bv(u,p) has been constructed. The classes (bv(u,p):ℓ∞) and (bv(u,p):c) of infinite matrices have been characterized and the characterizations of some other classes have also been derived by means of a given basic lemma. The final section of the paper has been devoted to some consequences about the rotundity of the space bv(u,p). |
ردمد |
: |
0362-546X |
اسم الدورية |
: |
Nonlinear Analysis: Theory, Methods & Applications |
المجلد |
: |
68 |
العدد |
: |
2 |
سنة النشر |
: |
1429 هـ
2008 م |
نوع المقالة |
: |
مقالة علمية |
تاريخ الاضافة على الموقع |
: |
Thursday, October 15, 2009 |
|
الباحثون
محمد مرسلين | Mursaleen, M | باحث | دكتوراه | mursaleenm@gmail.com |
F Başar | Başar, F | باحث | دكتوراه | fbasar@inonu.edu.tr |
B Altay | Altay, B | باحث | دكتوراه | baltay@inonu.edu.tr |
|
الرجوع إلى صفحة الأبحاث
|