APPROXIMATION BY LOCAL PARABOLIC SPLINES CONSTRUCTED ON THE BASIS OF INTERPOLATION IN THE MEAN
The paper deals with approximative and form-retaining properties of the local parabolic splines of the form \(S(x)=\sum\limits_j y_j B_2 (x-jh),\) \( (h>0),\) where \(B_2\) is a normalized parabolic spline with the uniform nodes and functionals \(y_j=y_j(f)\) are given for an arbitrary function \...
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| Format: | Article |
| Language: | English |
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Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin.
2017-07-01
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| Series: | Ural Mathematical Journal |
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| Online Access: | https://umjuran.ru/index.php/umj/article/view/77 |