On the uniform approximation by a holomorphic functions in one complex variable

Other Title(s)

حول التقريب المنتظم باستخدام الاقترانات التحليلية بمتغير مركب واحد

Dissertant

al-Rawashidah, Isra Ziyad

Thesis advisor

al-Butush, Ratib

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 and conditions of uniform approximation of functions of complex variables in a compact subset of complex numbers have been studied and verified.

Such properties and conditions have been used to ensure the existence and uniqueness of best approximation by holomorphic functions.

In addition to that extra results are obtained regarding Mergelian and Runge’s approximation theorems for functions by polynomials and rational functions on a compact subset of complex numbers.

Main Subjects

Mathematics

No. of Pages

50

Table of Contents

Table of contents.

Abstract.

Abstract in Arabic.

Chapter One : Introduction.

Chapter Two : Preliminaries and basic concepts.

Chapter Three : Runge and mergelyan approximation theorem’s.

Chapter Four : Uniform approximation by holomorphic function.

References.

American Psychological Association (APA)

al-Rawashidah, Isra Ziyad. (2015). On the uniform approximation by a holomorphic functions in one complex variable. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-731520

Modern Language Association (MLA)

al-Rawashidah, Isra Ziyad. On the uniform approximation by a holomorphic functions in one complex variable. (Master's theses Theses and Dissertations Master). Mutah University. (2015).
https://search.emarefa.net/detail/BIM-731520

American Medical Association (AMA)

al-Rawashidah, Isra Ziyad. (2015). On the uniform approximation by a holomorphic functions in one complex variable. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-731520

Language

English

Data Type

Arab Theses

Record ID

BIM-731520