Hardy-Hilbert's inequality : some extensions and applications
Other Title(s)
متباينة هاردي-هلبرت، بعض التوسيعات و تطبيقاتها
Dissertant
al-Rababiah, Rabba Ahmad Husayn
Thesis advisor
Comitee Members
Ubaydat, Sufyan
Abu al-Shar, Musa Jabir
Abu Salim, Ahmad Mahmud
University
Al albayt University
Faculty
Faculty of Sciences
Department
Department of Mathematics
University Country
Jordan
Degree
Master
Degree Date
2008
Arabic Abstract
في هذه الرساة، قدمنا بعض التوسيعات لمتباينة هاردي-هلبرت المتعلقة بالمتسلسلات الثنائية ∑∞ n = 0 ∑∞ m = 0 ambn / (am + bn + c) ʎ و ∑∞ n = 1 ∑∞ m = 1 ambn / (ma + nb) ʎ ذوات الثوابت المثلى باستخدام أقران بيتا و بعض المعلمات.
ثم ناقشنا بعض الصيغ المقوية لمتباينة هاردي-هلبرت الأكثر دقة و صيغتها المكافئة.
أخيرا، أثبتا بعض المتباينات التي تتضمن الثابت و قمنا بإعطاء صيغة مقوية لمتباينة شبيهة بمتباينة من نوع هلبرت و صيغة مقوية لصيغتها المكافئة.
English Abstract
In this thesis, we introduce some extensions of Hardy-Hilbert’s inequality related to the double series and with best constant factors by using the Beta function and some parameters.
Then we discuss some strengthened versions of the more accurate Hardy-Hilbert's inequality and its equivalent form.
Finally, we prove some inequalities involving the constant and obtain a strengthened version of an inequality similar to Hilbert's type inequality and its equivalent form.
Main Subjects
No. of Pages
60
Table of Contents
Abstract.
Table of contents.
Chapter one : Preliminaries.
Chapter two : Hardy-hilbert's inequality and some extensions of the discrete form.
Chapter three : On a strengthened hardy-hilbert's and hilbert’s type inequalities.
References.
American Psychological Association (APA)
al-Rababiah, Rabba Ahmad Husayn. (2008). Hardy-Hilbert's inequality : some extensions and applications. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-302963
Modern Language Association (MLA)
al-Rababiah, Rabba Ahmad Husayn. Hardy-Hilbert's inequality : some extensions and applications. (Master's theses Theses and Dissertations Master). Al albayt University. (2008).
https://search.emarefa.net/detail/BIM-302963
American Medical Association (AMA)
al-Rababiah, Rabba Ahmad Husayn. (2008). Hardy-Hilbert's inequality : some extensions and applications. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-302963
Language
English
Data Type
Arab Theses
Record ID
BIM-302963
