The existence, uniqueness and upper bounds for errors of six degree spline interpolating the lacunary data (0,2,5)
Joint Authors
Saeed, Rustum K.
al-Bayati, Abbas Y.
Jwamer, Karwan H.
Source
al- Rafidain Journal of Computer Sciences and Mathematics
Issue
Vol. 7, Issue 2 (31 Oct. 2010), pp.49-57, 9 p.
Publisher
University of Mosul College of Computer Science and Mathematics
Publication Date
2010-10-31
Country of Publication
Iraq
No. of Pages
9
Main Subjects
Information Technology and Computer Science
Topics
Abstract AR
إن الهدف من هذا البحث هو الحصول على الوجود و الوحدانية و الحدود العليا من الأخطاء لدالة سبلاين من الدرجة السادسة الذي يندرج البيانات الفراغية (0، 2، 5)، تم الاستنتاج أن تغير الشروط الحدودية و صنف دالة سبلاين لهما دور رئيسي في تقليل الحدود العليا للخطأ في مشكلة الاندراج الفراغي.
لهذا السبب، تم بناء دالة سبلاين الذي يندرج البيانات الفراغية (0، 2، 5)، غيرنا شروط الحد و صنف لدالة سبلاين الذي معطى من قبل (1) من الإشتقاق الأول إلى الإشتقاق الثالث و صنف دالة سبلاين من C2 [0, 1] إلى C4 [0, 1].
Abstract EN
The object of this paper is to obtain the existence, uniqueness and upper bounds for errors of six degree spline interpolating the lacunary data (0, 2, 5).
We also showed that the changes of the boundary conditions and the class of spline functions has a main role in minimizing the upper bounds for error in lacunary interpolation problem.
For this reason, in the construction of our spline function which interpolates the lacunary data (0, 2, 5), we changed the boundary conditions and the class of spline functions which are given by [1] from first derivative to third derivative and the class of spline function from C2 [0, 1] to C4[0,1].
American Psychological Association (APA)
al-Bayati, Abbas Y.& Saeed, Rustum K.& Jwamer, Karwan H.. 2010. The existence, uniqueness and upper bounds for errors of six degree spline interpolating the lacunary data (0,2,5). al- Rafidain Journal of Computer Sciences and Mathematics،Vol. 7, no. 2, pp.49-57.
https://search.emarefa.net/detail/BIM-253506
Modern Language Association (MLA)
al-Bayati, Abbas Y.…[et al.]. The existence, uniqueness and upper bounds for errors of six degree spline interpolating the lacunary data (0,2,5). al- Rafidain Journal of Computer Sciences and Mathematics Vol. 7, no. 2 (2010), pp.49-57.
https://search.emarefa.net/detail/BIM-253506
American Medical Association (AMA)
al-Bayati, Abbas Y.& Saeed, Rustum K.& Jwamer, Karwan H.. The existence, uniqueness and upper bounds for errors of six degree spline interpolating the lacunary data (0,2,5). al- Rafidain Journal of Computer Sciences and Mathematics. 2010. Vol. 7, no. 2, pp.49-57.
https://search.emarefa.net/detail/BIM-253506
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 57
Record ID
BIM-253506
