On Bernstein polynomials and approximation
Other Title(s)
حول كثيرات حدود بيرنشتاين و التقريب
Dissertant
Thesis advisor
University
Mutah University
Faculty
Faculty of Science
Department
Department of Mathematics and Statistics
University Country
Jordan
Degree
Master
Degree Date
2015
English Abstract
In this thesis some properties of Bernstein polynomials have been studied and justified.
Such properties have been used for building the proof of weierstrass theorem in details.
Extra results are obtained regarding Bernstein polynomials, which are used to introduce Jackson theorem.
Similar result is obtained by replacing the trigonometric polynomials in Jackson theorem by (Bernstein polynomials). Finally, as an application of Bernstein polynomials in approximation, Bézier curves are studied which are widely used in computer graphics to model smooth curves.
Main Subjects
No. of Pages
66
Table of Contents
Table of contents.
Abstract.
Abstract in Arabic.
Chapter One : Introduction.
Chapter Two : Preliminaries.
Chapter Three : Bernstein polynomials.
Chapter Four : B´ezier curves and jackson theorem.
Chapter Five : Conclusions and recommendations.
References.
American Psychological Association (APA)
al-Dalain, Sharzad Nasr. (2015). On Bernstein polynomials and approximation. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-729636
Modern Language Association (MLA)
al-Dalain, Sharzad Nasr. On Bernstein polynomials and approximation. (Master's theses Theses and Dissertations Master). Mutah University. (2015).
https://search.emarefa.net/detail/BIM-729636
American Medical Association (AMA)
al-Dalain, Sharzad Nasr. (2015). On Bernstein polynomials and approximation. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-729636
Language
English
Data Type
Arab Theses
Record ID
BIM-729636
