On infinitesimal approximation of a continuous function

Author

Ismail, Tahir H.

Source

al- Rafidain Journal of Computer Sciences and Mathematics

Issue

Vol. 7, Issue 1 (30 Apr. 2010), pp.181-186, 6 p.

Publisher

University of Mosul College of Computer Science and Mathematics

Publication Date

2010-04-30

Country of Publication

Iraq

No. of Pages

6

Main Subjects

Mathematics

Topics

Abstract AR

الهدف من هذا البحث هو دراسة تقريب متناهي الصغر لدالة f C z(X) مستخدما بعض طرق التحليل غير القياسي الذي أوجده Robinson A.

و وضعه Nelson E.

بأسلوب منطقي و أكثر دقة.

إذا كانت كلا من Q, P مجموعة جزئية محدبة في C (X) و كانت q (x)  في X لكل Q Q، و كانت العائلة المقربة هي مجموعة T p q : p P, q Q تم تعيين عنصر في  لتقريب متناهي الصغر لدالة f C(X) و تم الحصول على الشرط الضروري و الكافي لوحدانية التقريب المتناهي الصغر.

Abstract EN

If P and Q are convex subsets in C (X), and q (x) 0 in X for all qQ .

If the approximation family is the set T p / q : pP, qQ An Infinitesimal approximation of f C (X) an element in T established in [4], [5].

A characterization of an infinitesimal approximation, necessary and sufficient conditions for the unique infinitesimal approximation are obtained.

American Psychological Association (APA)

Ismail, Tahir H.. 2010. On infinitesimal approximation of a continuous function. al- Rafidain Journal of Computer Sciences and Mathematics،Vol. 7, no. 1, pp.181-186.
https://search.emarefa.net/detail/BIM-253743

Modern Language Association (MLA)

Ismail, Tahir H.. On infinitesimal approximation of a continuous function. al- Rafidain Journal of Computer Sciences and Mathematics Vol. 7, no. 1 (2010), pp.181-186.
https://search.emarefa.net/detail/BIM-253743

American Medical Association (AMA)

Ismail, Tahir H.. On infinitesimal approximation of a continuous function. al- Rafidain Journal of Computer Sciences and Mathematics. 2010. Vol. 7, no. 1, pp.181-186.
https://search.emarefa.net/detail/BIM-253743

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 186

Record ID

BIM-253743