ON K -MONOTONE APPROXIMATION IN LP
In 1995 Kopotun [4], introduced a paper on k -monotone polynomial and spline approximation in P L , 0 < p < ¥ quasi norm . In this paper, we discuss the errors of approximation of k -monotone function by k - monotone interpolation . It turns out that any two k -monotone functions f and g , wh...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Faculty of Computer Science and Mathematics, University of Kufa
2010-04-01
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| Series: | Journal of Kufa for Mathematics and Computer |
| Subjects: | |
| Online Access: | https://journal.uokufa.edu.iq/index.php/jkmc/article/view/12772 |
| _version_ | 1827321558868164608 |
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| author | Malik Saad Al-Muhja Eman Samir Bhaya |
| author_facet | Malik Saad Al-Muhja Eman Samir Bhaya |
| author_sort | Malik Saad Al-Muhja |
| collection | DOAJ |
| description |
In 1995 Kopotun [4], introduced a paper on k -monotone polynomial and spline approximation in P L ,
0 < p < ¥ quasi norm . In this paper, we discuss the errors of approximation of k -monotone function by k - monotone interpolation . It turns out that any two k -monotone functions f and g , whose graphs intersect each other at certain ( sufficiently many ) points in [a,b], have to be "close" to each other in the sense that P f - g , has to be small .
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| first_indexed | 2024-04-25T01:09:26Z |
| format | Article |
| id | doaj.art-78b9c37ee8744706aa4ce6e1ca115673 |
| institution | Directory Open Access Journal |
| issn | 2076-1171 2518-0010 |
| language | English |
| last_indexed | 2024-04-25T01:09:26Z |
| publishDate | 2010-04-01 |
| publisher | Faculty of Computer Science and Mathematics, University of Kufa |
| record_format | Article |
| series | Journal of Kufa for Mathematics and Computer |
| spelling | doaj.art-78b9c37ee8744706aa4ce6e1ca1156732024-03-10T11:02:27ZengFaculty of Computer Science and Mathematics, University of KufaJournal of Kufa for Mathematics and Computer2076-11712518-00102010-04-011110.31642/JoKMC/2018/010113ON K -MONOTONE APPROXIMATION IN LPMalik Saad Al-Muhja0Eman Samir Bhaya1Babylon UniversityBabylon University In 1995 Kopotun [4], introduced a paper on k -monotone polynomial and spline approximation in P L , 0 < p < ¥ quasi norm . In this paper, we discuss the errors of approximation of k -monotone function by k - monotone interpolation . It turns out that any two k -monotone functions f and g , whose graphs intersect each other at certain ( sufficiently many ) points in [a,b], have to be "close" to each other in the sense that P f - g , has to be small . https://journal.uokufa.edu.iq/index.php/jkmc/article/view/12772k -monotone polynomialinterpolation |
| spellingShingle | Malik Saad Al-Muhja Eman Samir Bhaya ON K -MONOTONE APPROXIMATION IN LP Journal of Kufa for Mathematics and Computer k -monotone polynomial interpolation |
| title | ON K -MONOTONE APPROXIMATION IN LP |
| title_full | ON K -MONOTONE APPROXIMATION IN LP |
| title_fullStr | ON K -MONOTONE APPROXIMATION IN LP |
| title_full_unstemmed | ON K -MONOTONE APPROXIMATION IN LP |
| title_short | ON K -MONOTONE APPROXIMATION IN LP |
| title_sort | on k monotone approximation in lp |
| topic | k -monotone polynomial interpolation |
| url | https://journal.uokufa.edu.iq/index.php/jkmc/article/view/12772 |
| work_keys_str_mv | AT maliksaadalmuhja onkmonotoneapproximationinlp AT emansamirbhaya onkmonotoneapproximationinlp |