Some properties and results on seminormed sequence spaces defined by ORLICZ function
Other Title(s)
بعض الخصائص و النتائج حول فضاءات المتتاليات شبه الناظمية المعرفة باقتران أورلكز
Dissertant
Thesis advisor
Comitee Members
al-Ashhab, Salim Shafiq
Firasain, Basim Arif
al-Sharif, Sharifah Naim
University
Al albayt University
Faculty
Faculty of Sciences
Department
Department of Mathematics
University Country
Jordan
Degree
Master
Degree Date
2010
English Abstract
Let w be the space of all sequences x = (x k) with real or complex terms.
Let L ∞, c and c0 denote the spaces of bounded convergent and null sequences, respectively.
For a sequence x = (x k), the difference sequence Δ x is defined by Δx = (Δ x k)∞ k=1 = (x k – x k+ 1)∞k = 1.
In this thesis, we define and study the sequence spaces L M (Δ n u, p, q, s), where for any sequence x = (x k), the nth difference Δ n u x k = ∑_(i=o)^n▒〖(-1)i (n i) Uk+i X k+i〗, where n is nonnegative integer and u = (u k) is any sequence such that u k ≠ o, for any k ϵ N Further we discuss some properties of these spaces, and some inclusion relations between them and some theorems.
Main Subjects
Topics
No. of Pages
34
Table of Contents
Table of contents.
Abstract.
Introduction.
Chapter One : preliminary.
Chapter Two : metric and nor med linear space.
Chapter Three : some properties and result on semi nor med sequence space defined by ORLICZ function.
References.
American Psychological Association (APA)
Abu Sayf, Muhammad Ahmad. (2010). Some properties and results on seminormed sequence spaces defined by ORLICZ function. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-310946
Modern Language Association (MLA)
Abu Sayf, Muhammad Ahmad. Some properties and results on seminormed sequence spaces defined by ORLICZ function. (Master's theses Theses and Dissertations Master). Al albayt University. (2010).
https://search.emarefa.net/detail/BIM-310946
American Medical Association (AMA)
Abu Sayf, Muhammad Ahmad. (2010). Some properties and results on seminormed sequence spaces defined by ORLICZ function. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-310946
Language
English
Data Type
Arab Theses
Record ID
BIM-310946
