On the approximation of functions by Hermite interpolation
Other Title(s)
تقريب الاقترانات باستخدام استكمال هرمايت
Dissertant
al-Shamaylih, Fatin Jamil Muhammad
Thesis advisor
Comitee Members
al-Banawi, Kamal Ata Allah Salih
al-Mumani, Shahir Muhammad
Jaradat, Umar Khalid
University
Mutah University
Faculty
Faculty of Science
Department
Department of Mathematics and Statistics
University Country
Jordan
Degree
Master
Degree Date
2012
English Abstract
In this thesis we improve the proof of weierstrass theorem by using the proof of Bernstein proof.
Furthermore, we will did used other results by Jackson Theorem, and we will insert some propositions of the relationship between the four kinds of The Chebyshev polynomials.
In addition to that, approximation of higher derivatives of Hermite interpolation polynomials based on the extended Chebyshev nodes of the fourth kind is discussed
Main Subjects
No. of Pages
33
Table of Contents
Table of contents.
Abstract.
Abstract in Arabic.
Chapter One : Introduction.
Chapter Two : Preliminary theorems and basic concepts.
Chapter Three : Densities of bernstein polynomial and jackson theorem.
Chapter Four : The relationship between the 1st, 2nd, 3rd and 4th kind.
Chapter Five : Approximation by the derivative of Hermite interpolation based on chebyshev polynomial nodes of 4th kind
References.
American Psychological Association (APA)
al-Shamaylih, Fatin Jamil Muhammad. (2012). On the approximation of functions by Hermite interpolation. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-786098
Modern Language Association (MLA)
al-Shamaylih, Fatin Jamil Muhammad. On the approximation of functions by Hermite interpolation. (Master's theses Theses and Dissertations Master). Mutah University. (2012).
https://search.emarefa.net/detail/BIM-786098
American Medical Association (AMA)
al-Shamaylih, Fatin Jamil Muhammad. (2012). On the approximation of functions by Hermite interpolation. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-786098
Language
English
Data Type
Arab Theses
Record ID
BIM-786098
