Best Approximation of Unbounded Functions in L_(p,α) (X)

الموضوعات

علوم بحتة وطبيعية

الملخص

This work is devoted to approximate unbounded functions in weighted space and deal with what is called approximation by algebraic and trigonometric polynomials in the approximation theory.The direct and converse algebraic polynomials approximation theorems of unbounded functions in weighted spaces are proved by using modulus of smoothness. Approximation by polynomials in the space L_(p,α) (X) is concerned mainly with algebraic polynomial approximation of unbounded function in weighted space in terms convolution f*g, where f and g belongs to weighted space. In addition, we obtain the best approximate the function to fractional derivatives in L_(p,α) (X).We investigate some improvement to the theorems of direct and converse trigonometric approximation of unbounded functions in weighted spaces to obtain strong inverse inequalities for some methods of approximating functions using the modulus of smoothness. Furthermore, we study the approximate properties of functions by means of trigonometric polynomials in weighted spaces. Relationships between modulus of smoothness of function derivatives and those of the jobs themselves are introduced. In the weighted spaces we also proved of theorems about the relationship between the derivatives of the polynomials for the best approximation of the functions

روابط وملفات

التعريف والنوع

رقم الوثيقة

00449d20-a17a-4451-88d7-1f40ef5d05ad

رقم العقد

0

نوع الوسائط

Crawler

نوع المحتوى

الرسائل العلمية

صيغة المصدر

رسائل ماجيستير

نوع الملف

pdf text

أسماء الملفات

2301423_1.docx

بيانات النشر

ترجمة العنوان

أفضل تقريب للدوال غير المقيدة في الفضاء الموزون

ألقاب المؤلفين

[{"name_ar":"علاء عدنان عواد","title_ar":"اشراف","title_en":"Supervision"},{"name_ar":"محمد حمد فياض","title_ar":"اعداد","title_en":"Preparation"}]

اللغة

English

المصدر والدورية

اسم المصدر

Best Approximation of Unbounded Functions in L_(p,α) (X)

المحتوى والصفحات

عدد الصفحات

0

كلمات الباحثين

Functions in L_(p,α) (X)

إشراف وإعداد

الإشراف

علاء عدنان عواد

الإعداد

محمد حمد فياض

الاقتباسات الببليوغرافية