Approximation by a new modification of SZÃZ-mirakyan type operators
Other Title(s)
التقريب باستخدام مؤثرات محوره جديدة من النمط Szãsz-Mirakyan
Joint Authors
Nasir, Hasan Ali Hajim
Muhammad, Ali Jasim
Source
Journal of Basrah Researches : Sciences
Issue
Vol. 37, Issue 4C (30 Sep. 2011), pp.234-243, 10 p.
Publisher
University of Basrah College of Education for Pure Sciences
Publication Date
2011-09-30
Country of Publication
Iraq
No. of Pages
10
Main Subjects
Topics
Abstract AR
في هذا البحث, نعرف و نسلط الضوء على مؤثرات من النمط Szãsz-Mirakyan المعدلة لتقريب صف من الدوال القابلة للتكامل على الفترة ( R0 (0, ∞و ندرس بعض النتائج المباشرة في التقريب المتعدد لهذه المؤثرات و التي سنرمز لها بالرمز Sn,p (f;x) أولا, ندرس تقارب المؤثر(f;x) ; r = 0,1,2… S_(n,p)^((r)) عند n→∞, و نبرهن صيغة النمط Voromovskaja.
و أخيرا, نحصل على الخطأ المخمن في حدود مقياس الاستمرارية للدوال المقربة.
Abstract EN
I n this paper, we define and consider a modified Szãsz-Mirakyan type operators to approximate a class of functions integrable on the interval Rº =(0, ∞) and study some direct results in simultaneous approximation for this operator which is denoted by Sn,p (ƒ:x).
First, we study the convergence for the operators Sn,p r (ƒ:x) : r =0, 1, 2, … , as n → ∞ and we prove a Voronovskaja-type asymptotic formula for our operators.
Finally, we obtain an error estimate in terms of modulus of continuity of the function being approximated.
American Psychological Association (APA)
Muhammad, Ali Jasim& Nasir, Hasan Ali Hajim. 2011. Approximation by a new modification of SZÃZ-mirakyan type operators. Journal of Basrah Researches : Sciences،Vol. 37, no. 4C, pp.234-243.
https://search.emarefa.net/detail/BIM-286281
Modern Language Association (MLA)
Muhammad, Ali Jasim& Nasir, Hasan Ali Hajim. Approximation by a new modification of SZÃZ-mirakyan type operators. Journal of Basrah Researches : Sciences Vol. 37, no. 4C (Sep. 2011), pp.234-243.
https://search.emarefa.net/detail/BIM-286281
American Medical Association (AMA)
Muhammad, Ali Jasim& Nasir, Hasan Ali Hajim. Approximation by a new modification of SZÃZ-mirakyan type operators. Journal of Basrah Researches : Sciences. 2011. Vol. 37, no. 4C, pp.234-243.
https://search.emarefa.net/detail/BIM-286281
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 243
Record ID
BIM-286281