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تقريب دوال صف ليبشتز باستخدام المؤثرات الخطية

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 Publication date 2018
  fields Mathematics
and research's language is العربية
 Created by Shamra Editor




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عبد الهادي كرزون 2018-2019 أطروحة دكتوراه بعنوان قابلية جمع متسلسلات فورييه بطريقة الجداء جامعة البعث كلية العلوم قسم الرياضيات
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The aim of this research is to present the two new classes of complex functions . The first class is denoted , and the second one is denoted. The definition of both of them depends on the famous Lebesgue class ,and orlicz class .The relationship bet ween the two new classes the two classes is studied. This study gives some properties . Finally, this study is used for approximation of the class on group of wide curves.
This research aimed to define a new class of complex functions , which depends in its definition on the definition of famous Holder class. We studied the relation between the new and Holder classes, then we proved some properties of the class. We fi nally applied this study to approximate the class of complex functions on closed curves , which belong to a wide class of curves.
We study in this paper one of functional analysis problems, involved with construction a new class of functions, denoted by . The definition of the new class depends on definition of Lebesgueclass of functions and on the Holder clas . We study the relation between the new class and approximation of the new class to rational functions.
In this paper , we will discuss the way of construction of lyapunov function for some of linear stochastic difference equations We will use the general method of constructions of lyapunov function for stochastic difference equations and we will ob tain a sufficient conditions of asymptotic mean square stability of zero solution for one of linear stochastic difference equations with constant coefficient ,By using of some main theorems and definitions for asymptotic mean square stability for linear stochastic difference equations .
In this work, we have studied the issue of approximation of functions from Morrey space ; by rational functions on a large group of curves, which called Dini-smooth curves. Moreover, approximation of functions from Morrey Smirnov space defined on a finite domain with a boundary belonging to Dini- smooth curves by polynomials is obtained.

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