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

al-Mahmud, Umran Ali Muhammad

Thesis advisor

al-Batayinah, Ahmad Heil A.

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

Mathematics

Topics

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