Файншмидт, В. Л. Ортогональные функции и краевые задачи : учебное пособие / В. Л. Файншмидт. Санкт-Петербург : бгту "Военмех" им. Д. Ф. Устинова, 2021. 58 с



Дата19.05.2022
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түріУчебное пособие
Ахметжан Жасулан


Akhmetjan Jasulan
Integrality of functions represented by orthogonal series

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2. Find 3 articles from 3 databases


1) Файншмидт, В. Л. Ортогональные функции и краевые задачи : учебное пособие / В. Л. Файншмидт. — Санкт-Петербург : БГТУ "Военмех" им. Д.Ф. Устинова, 2021. — 58 с.

2) Фонарев, А. А. О некотором признаке сходимости тригонометрического ряда Фурье в точке / А. А. Фонарев. - Текст : электронный // Научный вестник МГТУ ГА. Серия Прикладная математика. Информатика. - 2007. - №120. - С. 111-116. 


3) Eric S. Fourier analysis. Wiley.


3. Make a comparative analysis of 3 articles






First article “Lanbook”

Second article
“znanium.com”

Third article
“wiley online library”

Briefly about the book, article

This paper first defines periodic functions and orthogonal functions. A periodic function can be expanded in a Fourier series. The Fourier series of a periodic function is the sum of sinusoidal components of different frequencies.

In this work, the signs of convergence of the Fourier series were considered.



In this work, finding formulas for the coefficients of the Fourier series and their meaning were presented.



Is this book suitable for the future in my dissertation work?

This work is the theoretical nature of my dissertation work. 5 sources were selected from the sources, it is supposed to be my dissertation work. This work contains the basic definitions of orthogonal series and formulas.



Unanimously, I can say that in the future I can take with this article a lot suitable for my dissertation work.
Because in this article theorems were given to prove my research work.

I can take some elements with this book. In this work, there are various graphs of orthogonal functions. They will be needed for my research work.




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