Fourier series-vallee poussin sums and approximation

Other Title(s)

متسلسلات فورييه-مجاميع فالي بوسين و التقريب

Dissertant

al-Amr, Rasha Muhammad

Thesis advisor

al-Butush, Ratib Hamid

Comitee Members

al-Jaradat, Umar Khalid
al-Qadiri, Muhammad Husayn
al-Talafihah, Adib Mustafa

University

Mutah University

Faculty

Faculty of Science

Department

Department of Mathematics and Statistics

University Country

Jordan

Degree

Master

Degree Date

2014

English Abstract

In this thesis we investigate approximation properties of partial sums of trigonometric Fourier series of continuous periodic functions, in addition, we obtain an estimate of the deviation of de la Vallee-Poussin sums from continuous periodic functions; expressed in terms of values of theirs modulus of continuity.

Furthermore, we provide two examples as an applications of this result.

Main Subjects

Mathematics

Topics

No. of Pages

44

Table of Contents

Table of contents.

Abstract.

Chapter One : Introduction.

Chapter Two : Preliminary and basic concepts.

Chapter Three : Density of Bernstein polynomial and Jackson Theorem.

Chapter Four : Approximation of continuous-periodic functions by valee-poussin sums.

References.

American Psychological Association (APA)

al-Amr, Rasha Muhammad. (2014). Fourier series-vallee poussin sums and approximation. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-403518

Modern Language Association (MLA)

al-Amr, Rasha Muhammad. Fourier series-vallee poussin sums and approximation. (Master's theses Theses and Dissertations Master). Mutah University. (2014).
https://search.emarefa.net/detail/BIM-403518

American Medical Association (AMA)

al-Amr, Rasha Muhammad. (2014). Fourier series-vallee poussin sums and approximation. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-403518

Language

English

Data Type

Arab Theses

Record ID

BIM-403518