New theorems in approximation theory

The aim of this paper is to prove some results for equivalence of moduli of smoothnes in approximation theory , we used a"non uniform" modulus of smoothness and the weighted Ditzian –Totik moduli of smoothness in by spline functions ,several results are obtained .For example , i...

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Main Author: Baghdad Science Journal
Format: Article
Language:English
Published: University of Baghdad, College of Science for Women 2010-06-01
Series:مجلة بغداد للعلوم
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Online Access:http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/1072
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author Baghdad Science Journal
author_facet Baghdad Science Journal
author_sort Baghdad Science Journal
collection DOAJ
description The aim of this paper is to prove some results for equivalence of moduli of smoothnes in approximation theory , we used a"non uniform" modulus of smoothness and the weighted Ditzian –Totik moduli of smoothness in by spline functions ,several results are obtained .For example , it shown that ,for any the inequality , is satisfied ,finally, similar result for chebyshev partition and weighted Ditzian –Totik moduli of smoothness are also obtained.
format Article
id doaj-art-77fe3ed3bfa540fcab0769efc726eb6a
institution Kabale University
issn 2078-8665
2411-7986
language English
publishDate 2010-06-01
publisher University of Baghdad, College of Science for Women
record_format Article
series مجلة بغداد للعلوم
spelling doaj-art-77fe3ed3bfa540fcab0769efc726eb6a2025-08-20T03:56:55ZengUniversity of Baghdad, College of Science for Womenمجلة بغداد للعلوم2078-86652411-79862010-06-017210.21123/bsj.7.2.1056-1060New theorems in approximation theoryBaghdad Science JournalThe aim of this paper is to prove some results for equivalence of moduli of smoothnes in approximation theory , we used a"non uniform" modulus of smoothness and the weighted Ditzian –Totik moduli of smoothness in by spline functions ,several results are obtained .For example , it shown that ,for any the inequality , is satisfied ,finally, similar result for chebyshev partition and weighted Ditzian –Totik moduli of smoothness are also obtained.http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/1072"Univariate splines , moduli of smoothness "
spellingShingle Baghdad Science Journal
New theorems in approximation theory
مجلة بغداد للعلوم
"Univariate splines , moduli of smoothness "
title New theorems in approximation theory
title_full New theorems in approximation theory
title_fullStr New theorems in approximation theory
title_full_unstemmed New theorems in approximation theory
title_short New theorems in approximation theory
title_sort new theorems in approximation theory
topic "Univariate splines , moduli of smoothness "
url http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/1072
work_keys_str_mv AT baghdadsciencejournal newtheoremsinapproximationtheory