On approximation of bounded variation functions by fourier - legendre sums
Author
Source
Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series
Issue
Vol. 25, Issue 1 (31 Dec. 2010), pp.155-178, 24 p.
Publisher
Mutah University Deanship of Academic Research
Publication Date
2010-12-31
Country of Publication
Jordan
No. of Pages
24
Main Subjects
Topics
Abstract AR
يعالج هذا البحث تقريب الإقترانات المتصلة و المحدودة التغير على الفترة [-1, 1].
هذا التقريب هو الأقرب من نوعه للفرق ∆n (F, x) = F (x) – Sn (F, x).
في هذا التقريب تم استخدام عدد من التمهيديات و النتائج ساندت و دعمت برهان النظرية الأساسية التي تعد جوهر هذا البحث.
Abstract EN
In this paper Fourier-Legendre sums, Sn(f ,X ) , are used to approximate a function of bounded variation over [—1,1].
The approximation is an asymptotic one for An (f ,X ) =f (x) — Sn(f ,x).
Such an approximation uses a list of lemmas which are the essence of this paper.
2000 Mathematics Subject Classification: 41A10, 41A05 and 42C10
American Psychological Association (APA)
al-Butush, Ratib Hamid. 2010. On approximation of bounded variation functions by fourier - legendre sums. Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series،Vol. 25, no. 1, pp.155-178.
https://search.emarefa.net/detail/BIM-253086
Modern Language Association (MLA)
al-Butush, Ratib Hamid. On approximation of bounded variation functions by fourier - legendre sums. Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series Vol. 25, no. 1 (Dec. 2010), pp.155-178.
https://search.emarefa.net/detail/BIM-253086
American Medical Association (AMA)
al-Butush, Ratib Hamid. On approximation of bounded variation functions by fourier - legendre sums. Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series. 2010. Vol. 25, no. 1, pp.155-178.
https://search.emarefa.net/detail/BIM-253086
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 177-178
Record ID
BIM-253086
