Some properties and results on difference paranormed sequence spaces defined by a sequence of orlicz functions
Other Title(s)
بعض الخصائص و النتائج حول فضاءات المتتاليات الفروقية فوق القياسية المعرفة بمتتالية
Dissertant
Thesis advisor
Comitee Members
Azar, Layth Imil
al-Jarrah, Abd Allah Muhammad
Frasin, Basim Arif
University
Al albayt University
Faculty
Faculty of Sciences
Department
Department of Mathematics
University Country
Jordan
Degree
Master
Degree Date
2009
English Abstract
Let w be the space of all sequences jc = (xk) with real or complex terms.
By /„ , c and c0 we mean the spaces of bounded, convergent and null sequences , respectively .
For a sequence x = (xt) , the difference sequence Ax is defined by Ax = (Ax k )"=1 = (x k -xi+l)"^ . In this thesis, we defined and studied the sequence spaces lm(Mk,A",p,q)> c(Mk,A",p,q) , and c0(Mk>^,p,q) which are generalizations ofthespaces lx(M ,A,p,q) ,c(M,A,p,q) and c0(M, A, p,q), respectively, defined by B.C.
Tripathy and B.
Sarma in 2005 . We studied some properties and results regarding these spaces, also we proved some inclusion relations and Theorems among mem.
Main Subjects
Topics
- Mathematics
- Mathematical analysis
- Algebra
- Set theory
- Differential equation(Mathematics)
- Sequences(Mathematics)
No. of Pages
45
Table of Contents
Table of contents.
Abstract.
Introduction.
Chapter One : preliminaries.
Chapter Two : normed linear spaces.
Chapter Three : some new generalized difference sequence spaces defined by orlicz function.
References.
American Psychological Association (APA)
al-Mahmud, Umran Ali Muhammad. (2009). Some properties and results on difference paranormed sequence spaces defined by a sequence of orlicz functions. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-311551
Modern Language Association (MLA)
al-Mahmud, Umran Ali Muhammad. Some properties and results on difference paranormed sequence spaces defined by a sequence of orlicz functions. (Master's theses Theses and Dissertations Master). Al albayt University. (2009).
https://search.emarefa.net/detail/BIM-311551
American Medical Association (AMA)
al-Mahmud, Umran Ali Muhammad. (2009). Some properties and results on difference paranormed sequence spaces defined by a sequence of orlicz functions. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-311551
Language
English
Data Type
Arab Theses
Record ID
BIM-311551