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Register a new userThe Summability of Fourier Series and Its Conjugate by Almost Matrix Method
قابلية جمع متسلسلة فورييه و مرافقتها بالطريقة المصفوفية التقريبية
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Aِl-Baath University ورقة بحثية
Publication date
2018
fields
Mathematics
and research's language is
العربية
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سنفرض أن الدالة f دورية و كمولة لوبيغيا , سنقدم في هذا البحث مبرهنتين حول قابلية متساسلة فورييه و مرافقتها بالطريقة المصفوفية التقريبية, و تعمم دراستنا جميع النتائج المعروفة سابقا في هذا المجال.
Let f be a periodic function and integrable, in thesense of Lebesgue.In this paper, quite new theorems on almost Matrix summability of Fourier series and its conjugate have been established. our study generalizes all previously known results of this line of work
References used
S. lal, M. prabhakar, 2000, " on the degree of approximation of conjugate Of a function belonging to weighted ( ( )) Class by matrix summability means of Conjugate series of a fourier series", (279- 288)
S. lal, 2004, 2, on the approximation of function belonging to weighted ( ( )) class by almost matrix summability method of its fourier series ", (67-76)
H. k. nigam. A sharma, 2013, 82, " a study on almost matrix summability of fourier-jacobi series ", (89-106)
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Various types of criteria, under varying conditions, for the Nörlund
summability of the derived fourier series have been previously
obtainedby Hille and Tamarkin (1932), Astrachan (1936) and
Prasad and Siddiqi (1950). In this paper quite a differe
nt and
general type of criterion for the summability of the derived
fourier series has been obtained.
Where we shall consider a function f(x) of bounded variation
integrable in the sense of Lebesgue, and periodic.
في هذا البحث نقوم بدراسة قابلية جمع متسلسلة فورييه ( و تدعى معاملات فورييه ), و ذلك بالطريقة المصفوفية.
سيتم عرض هذه الطريقة من خلال مبرهنة مع إثباتها, و لكن بعد وضع التعاريف
و المفاهيم الأساسية اللازمة لذلك.
تعد متسلسلات فورييه المثلثية إحدى الدراسات الهامة في التحليل الحديث وقد برزت هذه المتسلسلات لاول مرة عند دراسة العالم برنوبي للأوتار المهتزة عام (1753)
We will first introduce the basic ingredient of Fourier methods in
section 1, then we will do some analysis on the Fourier
approximation, in the last section, we will apply the Fourier
method to solve some ODEs . we will write Matlab code for
num
erical result .
In this paper we study the convergence of Fourier-
Haar for functions of continuous partial derivative.
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