A study of some generalized difference sequence spaces defined by orlicz functions
Other Title(s)
دراسة بعض فضاءات المتتاليات الفروقية المعممة المعرفة باقترانات اورلكز
Dissertant
Thesis advisor
Comitee Members
Azar, Layth Imil
Kittanah, Faud
Frasin, Basim Arif
University
Al albayt University
Faculty
Faculty of Sciences
Department
Department of Mathematics
University Country
Jordan
Degree
Master
Degree Date
2008
Arabic Abstract
لتكن w هي فضاء كل المتتاليات (x = (xk الحقيقية أو المركبة.
و لتكن c, ℓ∞, c0 تدل على فضاءات المتتاليات المحدودة، المتقاربة، و المتقاربة للصفر على الترتيب.
للمتالية x = ( xk) فإن المتتالية الفروقية Δx تعرف كما يلي : Δx = (Δxk) ∞ k = 1 = (xk – xk+1)∞k = 1 في هذه الرسالة قمنا بتعريف و دراسة فضاءات المتتاليات ℓ∞ (M, q, u, Δ), ℓ1 (M, q, u, Δ), m (M, ϕ, q, u, Δ) و التي تعتبر تعميم للفضاءات ℓ∞ (M, q), ℓ1 (M, q), m (M, ϕ, q) على الترتيب، و التي قام بتعريفها Chandra and Mahanta عام 2003.
أيضا، قمنا بتوسعة الفضاءات ℓM (p, u, Δ), c (u, Δ, M), c0 (u, Δ, M) التي قام بإيجادها Bektas عام 2004، إلى الفضاءات الجديدة التالية : ℓM (p, u, Δ, q), c (u, Δ, M, q), c0 (u, Δ, M, q).
حيث M هو اقتران اورلكز، q شبة قياسي.
الإضافة إلى أننا قمنا بمناقشة بعض علاقات الاحتواء فيما بين هذه الفضاءات الجديدة و كذلك دراسة بعض النتائج و النظريات المتعلقة بها.
English Abstract
Let be the space of all sequences x = (x ) with real or complex terms.
Let and denote the space of bounded, convergent and null sequences, respectively.
For a sequence x = (x ), the difference sequence is defined by In this thesis, we define and study the sequence spaces , , and which are generalizations of the spaces , , and , respectively, defined by Chandra and Mahanta in 2003.
Also we extend the spaces , , and which were introduced by Bektas in 2004, to the new Orlicz sequence spaces , , and , where M is an Orlicz function, q is a semi norm.
Further, we discuss some inclusion relation of these new spaces and some other related results and theorem.
Main Subjects
No. of Pages
43
Table of Contents
Abstract.
Table of contents.
Chapter one : Preliminaries.
Chapter two : Metric and normed linear spaces.
Chapter three : Some new generalized difference sequence spaces defined by orlicz functions.
Chapter four : Some new difference sequence spaces.
References.
American Psychological Association (APA)
Kasasibah, Khalid Ali Ahmad. (2008). A study of some generalized difference sequence spaces defined by orlicz functions. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-302898
Modern Language Association (MLA)
Kasasibah, Khalid Ali Ahmad. A study of some generalized difference sequence spaces defined by orlicz functions. (Master's theses Theses and Dissertations Master). Al albayt University. (2008).
https://search.emarefa.net/detail/BIM-302898
American Medical Association (AMA)
Kasasibah, Khalid Ali Ahmad. (2008). A study of some generalized difference sequence spaces defined by orlicz functions. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-302898
Language
English
Data Type
Arab Theses
Record ID
BIM-302898
