قابلية جمع متسلسلة فورييه المضاعفة بالطريقة (N, p, q, p, q) (E, 1, 1)
Other Title(s)
On summability of double fourier series by (N, p, q, p, q) (E, 1, 1)
Author
Source
مجلة العلوم الطبيعية و الحياتية و التطبيقية
Issue
Vol. 2, Issue 4 (31 Dec. 2018), pp.25-40, 16 p.
Publisher
Publication Date
2018-12-31
Country of Publication
Palestine (Gaza Strip)
No. of Pages
16
Main Subjects
Abstract EN
Let f be a function of two variables ?,?, periodic with respect to u and with respect to v, in each case with period 2π, and summable in the square ? ∶ [−?,?]×[−?,?].In this reserchewe will proof theorem.
The first study summability of the Double Fourier series ∑ ∑ ??,???,?(?,?) ∞ ?=0 ∞ ?=0 to fat point (?,?) = (?,?) within a certain condition, and we put the necessary lemmas for this theorem by method (?,?,?,?́,?́)(?,1,1).
The objective of the research is to find a rough approximation of the series using two regular methods.
Neither of the two methods can assign an approximate sum.
In order to reach our desired goal, the analytical and synthetic method was adopted.
We defined two regular Double methods and then applied them and applied the product to a known double series And a task commensurate with this task, and we can get many results, the most important of which is that the individual methods lead to the methods of the product and consistent with it, if we have a series can be summability in a single way, this series can also be summability to the same total plow And the opposite is not true in the general case, Knowing that the methods used and their products are regular.
In conclusion, we can say that methods product are better able to collect the series than the methods themselves Keywords:(N, p, q, p, q) (E, 1, 1) method,(N, p, q, p, q) (E, 1, 1))method, Double Fourier series.
(N, p, q, p, q) (E, 1, 1) method,(N, p, q, p, q) (E, 1, 1)method, Double Fourier series.
(N, p, q, p, q) (E, 1, 1) method,(N, p, q, p, q) (E, 1, 1))method, Double Fourier series.
(N, p, q, p, q) (E, 1, 1) method,(N, p, q, p, q) (E, 1, 1))method, Double Fourier series
American Psychological Association (APA)
كرزون، عبد الهادي محمد. 2018. قابلية جمع متسلسلة فورييه المضاعفة بالطريقة (N, p, q, p, q) (E, 1, 1). مجلة العلوم الطبيعية و الحياتية و التطبيقية،مج. 2، ع. 4، ص ص. 25-40.
https://search.emarefa.net/detail/BIM-898023
Modern Language Association (MLA)
كرزون، عبد الهادي محمد. قابلية جمع متسلسلة فورييه المضاعفة بالطريقة (N, p, q, p, q) (E, 1, 1). مجلة العلوم الطبيعية و الحياتية و التطبيقية مج. 2، ع. 4 (كانون الأول 2018)، ص ص. 25-40.
https://search.emarefa.net/detail/BIM-898023
American Medical Association (AMA)
كرزون، عبد الهادي محمد. قابلية جمع متسلسلة فورييه المضاعفة بالطريقة (N, p, q, p, q) (E, 1, 1). مجلة العلوم الطبيعية و الحياتية و التطبيقية. 2018. مج. 2، ع. 4، ص ص. 25-40.
https://search.emarefa.net/detail/BIM-898023
Data Type
Journal Articles
Language
Arabic
Notes
يتضمن مراجع ببليوجرافية : ص. 39-40
Record ID
BIM-898023