Some difference sequences defined by a sequence of modulus functions
Dissertant
Thesis advisor
Comitee Members
Azar, Layth Imil
Shatnawi, Wasfi Ahmad
Firasain, 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 ? be the space of all sequences ? = (??) with real or complex terms.
Let ?∞, ? and 0 c denote the space of bounded, convergent and null sequences, respectively.
In this thesis, we studied the sequence spaces ?∞ ?, Δ?, ?0 ?, Δ?, where ? is a non-negative integer, ? = ?? is a sequence of modulus functions, and for any sequence ? = ??, and any sequence ? = ??, ?? ≠ 0, for each ?, the difference sequences Δ? ?, Δ?2 ?, …, Δ? ? ? are defined by Δ? ? = ?? ?? − ??+1??+1 Δ?2 = Δ (Δ? ?) Δ? ? ? = Δ?? ? ?? = Δ?? ? -1 − Δ??+1 ?-1 ?? + 1, so that Δ? ? ? = Δ?? ? ?? = ∑_(v=0)^m▒〖(m v) uk+v xk+v) 〗 Also we defined and discussed some results concerning lacunar strong (?, Δ? ?) - convergent sequences with respect to a sequences of modulus functions, where ? = ??? is an infinite matrix of complex numbers, and some inclusion between lacunary strong ?, Δ? ?- convergence and lacunary ?, Δ? ? -statistical convergence.
Main Subjects
Topics
No. of Pages
55
Table of Contents
Table of contents.
Abstract.
Introduction.
Chapter One : preliminaries.
Chapter Two : metric and normed linear spaces.
Chapter Three : some difference sequences defined by a sequence of modulus functions.
Chapter Four : some lacunary strong (A,∆_U^M ) –convergent sequences of modulus functions.
References.
American Psychological Association (APA)
Sulayman, Ibrahim Muadh Abkar. (2009). Some difference sequences defined by a sequence of modulus functions. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-311538
Modern Language Association (MLA)
Sulayman, Ibrahim Muadh Abkar. Some difference sequences defined by a sequence of modulus functions. (Master's theses Theses and Dissertations Master). Al albayt University. (2009).
https://search.emarefa.net/detail/BIM-311538
American Medical Association (AMA)
Sulayman, Ibrahim Muadh Abkar. (2009). Some difference sequences defined by a sequence of modulus functions. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-311538
Language
English
Data Type
Arab Theses
Record ID
BIM-311538
