الدوال الداعمة في فضاء هيلبرت

Authors

  • نزار حسن

Abstract

تعد الدوال الداعمة من الوسائل الهامة والمفيدة عند دراسة مسائل مختلفة في الرياضيات والفيزياء والعلوم الهندسية، نظرا لامتلاكها الكثيرة من الخصائص والمزايا الحسنة. لهذا سنركز اهتمامنا في هذه الورقة على دراسة وإثبات التكافؤ فيما بين الشروط الثلاث الآتية: (1 دالة محدبة. (2 دالة داعمة. (3 دالة تحت جمعية على كرة الواحدة حيث: دالة مستمرة ومتجانسة من الدرجة الأولى و فضاء هيلبرت. The supporting functions are powerful tools for studying several problems in mathematics and engineering sciences, since they have useful advantages. In this paper, we prove that the following conditions and statements are equivalent: 1. is convex. 2. is supporting 3. is subadditive on the unit sphere Where be continuous and homogenous of degree 1 and be a Hilbert space.

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Published

2017-03-01

How to Cite

1.
حسن ن. الدوال الداعمة في فضاء هيلبرت. TUJ-BA [Internet]. 2017Mar.1 [cited 2024Nov.24];38(2). Available from: https://journal.tishreen.edu.sy/index.php/bassnc/article/view/2539

Issue

Vol. 38 No. 2 (2016): العلوم الأساسية

Section

Articles

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