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 dimens
ion 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.
إن تقريب دوال صفوف ليبشتز باستخدام متسلسلات فورييه ومرافقاتها يتم عن طريق بعض التحويلات المتقطعة المتعلقة بهذه المتسلسلات
