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 |
| Summary: | 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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| ISSN: | 2076-1171 2518-0010 |