الاستمرار والاستمرار التام للمؤثرات التكاملية الخطية باستخدام مفهوم تابع في فضاء أورليتش
Abstract
الهدف من هذا البحث مناقشة الشروط اللازمة والكافية لاستمرارية المؤثر التكاملي الخطـــــــي
في فضاء أورليتش على مجموعة متراصة لدوال محققة لشروط قياس لوبيغ في الفضاء الاقليدي المنتهي البعد واستخدام شروط دالة القياس المستمرة اعتماد على تعريفي تابع والنظيم في إثبات صحة بعض المبرهنات في فضاءي هلبرت ,باناخ. ثم تم التطرق إلى مفهوم الـ تابع المتتم لـ تابع معطى وذلك بهدف مناقشة شروط الاستمرار التام لنواة المؤثـر التكاملي الخطي المدروس. وتحقيق صفات التراص على مجموعة دوال في فضاء أورليتش واختيار أفضل تقريب لذلك المؤثر التكاملي الخطي.وأخيراً تم أجراء مقارنة بين الاستمرار التام والتقارب الضعيف للمتتاليات الدالية في فضاء جزئي من فضاء أورليتش.
The aim of this paper is to discuss the necessary and sufficient conditions for the continuity of operator linear integral in Orlicz space on a compact set of functions realized with the terms of a lebegue measure of the Euclidean space ending dimension and the use of the terms continuous measurement N-function definition continued N-function some theorems in Hilbert, Banach spaces. Then the research touched on the concept of the continued complementary N-function given, in order to discuss the terms of a continuing full for Integrative operator linear kernel which is studied, and to achieve qualities compact a functions set in W. Orlicz space and choose the best approximation for linear integrative operators. Finally a comparison is carried out between continuing full and weak convergence of the functional sequences in subspace of W. Orlicz space.
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