Approximation results for q-Szãsz : mirakjan type operators
Author
Source
Journal of College of Education for Pure Sciences
Issue
Vol. 4, Issue 2 (30 Jun. 2014), pp.1-12, 12 p.
Publisher
University of Thi-Qar College of Education for Pure Sciences
Publication Date
2014-06-30
Country of Publication
Iraq
No. of Pages
12
Main Subjects
Topics
Abstract AR
في هذا البحث, نقدم و ندرس صيغة جديدة هي ??( ?, ?? ; ?) من المؤثرات من النمط q-Szãsz المتضمنة q-integers في الحالة, ?? ∈ (0,1), حيث ??→1 عندما ?→∞.
في البداية برهنا هذه المؤثرات تتقارب إلى الدالة المستخدمة في التقريب ثم عرفنا العزم m من النمط q و أوجدنا الصيغة التكرارية لها.
و أخيرا أثبتنا صيغة فورونو ڤسكي للتقارب (Voronovskaja-type asymptotic formula) للمؤثرات ?? (?, ?? ; ?).
Abstract EN
In this paper, we introduce and study a new type q-Szasz Mirakjan operators Ln (f, qn ; x) based on the q-integers in the case qn E (0,1), where qn → 1 as n → ∞.
First, we prove that these operators are converging to the function being approximated.
Then, we define the m-th order q-moments and find a recurrence relation for these q-moments.
Finally, we prove Voronovskaja-type asymptotic formulas for the operators Ln (f, qn ; x).
American Psychological Association (APA)
Nasir, Hasan Ali Hajim. 2014. Approximation results for q-Szãsz : mirakjan type operators. Journal of College of Education for Pure Sciences،Vol. 4, no. 2, pp.1-12.
https://search.emarefa.net/detail/BIM-411779
Modern Language Association (MLA)
Nasir, Hasan Ali Hajim. Approximation results for q-Szãsz : mirakjan type operators. Journal of College of Education for Pure Sciences Vol. 4, no. 2 (2014), pp.1-12.
https://search.emarefa.net/detail/BIM-411779
American Medical Association (AMA)
Nasir, Hasan Ali Hajim. Approximation results for q-Szãsz : mirakjan type operators. Journal of College of Education for Pure Sciences. 2014. Vol. 4, no. 2, pp.1-12.
https://search.emarefa.net/detail/BIM-411779
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 12
Record ID
BIM-411779