A general family of summation integral baskakov-type operators
Other Title(s)
تعميم عائلة المجموع- تكامل من نوع مؤثر باسكسكوف
Joint Authors
Abd al-Hamid, Safa Abd al-Shahid
Muhammadm, Ali Jasim
Husayn, Amal Khalil
Source
Journal of Basrah Researches : Sciences
Issue
Vol. 40, Issue 3A (30 Sep. 2014), pp.65-75, 11 p.
Publisher
University of Basrah College of Education for Pure Sciences
Publication Date
2014-09-30
Country of Publication
Iraq
No. of Pages
11
Main Subjects
Topics
Abstract AR
في هذا البحث، قدمنا تعميم لعائلة المجموع-تكامل من نوع مؤثر باسكسكوف، أولا برهنا بأن هذه العائلة متقاربة بواسطة تطبيق مبرهنة كورفكن للمتسلسلة الجبرية لمؤثرات خطية موجبة.
ثانيا ناقشنا صيغة ڤورونوڤسكي للتقارب لهذه العائلة.
أخيرا أوجدنا تخمين الخطأ لهذه العائلة باستخدام مقياس الاستمرارية.
Abstract EN
In this paper, we introduce and study a general family of summation integralBaskakov-type operators.
Firstly, we prove that thisfamily converges to the functions beingapproximated by applying Korovkin's Theorem for a sequence of algebraic linear positive operators.
Secondly, we establish a Voronovaskaja-type asymptotic formula for this family.
Finally, we obtain an estimation of the error for this family in terms of the modulus of continuity.
American Psychological Association (APA)
Muhammadm, Ali Jasim& Husayn, Amal Khalil& Abd al-Hamid, Safa Abd al-Shahid. 2014. A general family of summation integral baskakov-type operators. Journal of Basrah Researches : Sciences،Vol. 40, no. 3A, pp.65-75.
https://search.emarefa.net/detail/BIM-420120
Modern Language Association (MLA)
Abd al-Hamid, Safa Abd al-Shahid…[et al.]. A general family of summation integral baskakov-type operators. Journal of Basrah Researches : Sciences Vol. 40, no. 3A (2014), pp.65-75.
https://search.emarefa.net/detail/BIM-420120
American Medical Association (AMA)
Muhammadm, Ali Jasim& Husayn, Amal Khalil& Abd al-Hamid, Safa Abd al-Shahid. A general family of summation integral baskakov-type operators. Journal of Basrah Researches : Sciences. 2014. Vol. 40, no. 3A, pp.65-75.
https://search.emarefa.net/detail/BIM-420120
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 75
Record ID
BIM-420120