Best multi Approximation of Unbounded Functions by Using Modulus of Smoothness

We present an estimate of the degree of best multi approximation of unbounded function on 〖[-1,1]〗^d by algebraic polynomials in weighted space. The studied of the relation between the best approximation of derivatives functions in weighted space and the best approximation of unbounded functions in...

Full description

Bibliographic Details
Main Authors: Omar Khashan, Alaa Auad, Ghassan Ezzulddin Arif
Format: Article
Language:English
Published: University of Anbar 2021-06-01
Series:مجلة جامعة الانبار للعلوم الصرفة
Subjects:
Online Access:https://juaps.uoanbar.edu.iq/article_172433_887ec19dd29e3fe39e64ea6c2c76644b.pdf
_version_ 1797373216201637888
author Omar Khashan
Alaa Auad
Ghassan Ezzulddin Arif
author_facet Omar Khashan
Alaa Auad
Ghassan Ezzulddin Arif
author_sort Omar Khashan
collection DOAJ
description We present an estimate of the degree of best multi approximation of unbounded function on 〖[-1,1]〗^d by algebraic polynomials in weighted space. The studied of the relation between the best approximation of derivatives functions in weighted space and the best approximation of unbounded functions in the same space.
first_indexed 2024-03-08T18:47:09Z
format Article
id doaj.art-9d899b935f2c4c8e99be76348c602a4a
institution Directory Open Access Journal
issn 1991-8941
2706-6703
language English
last_indexed 2024-03-08T18:47:09Z
publishDate 2021-06-01
publisher University of Anbar
record_format Article
series مجلة جامعة الانبار للعلوم الصرفة
spelling doaj.art-9d899b935f2c4c8e99be76348c602a4a2023-12-28T22:00:55ZengUniversity of Anbarمجلة جامعة الانبار للعلوم الصرفة1991-89412706-67032021-06-01151546110.37652/juaps.2022.172433172433Best multi Approximation of Unbounded Functions by Using Modulus of SmoothnessOmar Khashan0Alaa Auad1Ghassan Ezzulddin Arif2Department of Mathematics,College of Education for pure science,Tikrit University, Tikrit, IraqDepartment of Mathematics,College of Education for pure science,University of Anbar, Ramadi,IraqDepartment of Mathematics,College of Education for pure science,Tikrit University, Tikrit, IraqWe present an estimate of the degree of best multi approximation of unbounded function on 〖[-1,1]〗^d by algebraic polynomials in weighted space. The studied of the relation between the best approximation of derivatives functions in weighted space and the best approximation of unbounded functions in the same space.https://juaps.uoanbar.edu.iq/article_172433_887ec19dd29e3fe39e64ea6c2c76644b.pdfunbounded functionsweighed spacealgebraic polynomialsmodulus of smoothness
spellingShingle Omar Khashan
Alaa Auad
Ghassan Ezzulddin Arif
Best multi Approximation of Unbounded Functions by Using Modulus of Smoothness
مجلة جامعة الانبار للعلوم الصرفة
unbounded functions
weighed space
algebraic polynomials
modulus of smoothness
title Best multi Approximation of Unbounded Functions by Using Modulus of Smoothness
title_full Best multi Approximation of Unbounded Functions by Using Modulus of Smoothness
title_fullStr Best multi Approximation of Unbounded Functions by Using Modulus of Smoothness
title_full_unstemmed Best multi Approximation of Unbounded Functions by Using Modulus of Smoothness
title_short Best multi Approximation of Unbounded Functions by Using Modulus of Smoothness
title_sort best multi approximation of unbounded functions by using modulus of smoothness
topic unbounded functions
weighed space
algebraic polynomials
modulus of smoothness
url https://juaps.uoanbar.edu.iq/article_172433_887ec19dd29e3fe39e64ea6c2c76644b.pdf
work_keys_str_mv AT omarkhashan bestmultiapproximationofunboundedfunctionsbyusingmodulusofsmoothness
AT alaaauad bestmultiapproximationofunboundedfunctionsbyusingmodulusofsmoothness
AT ghassanezzulddinarif bestmultiapproximationofunboundedfunctionsbyusingmodulusofsmoothness