ISSN: 2310-757X
Please use this identifier to cite or link to this item:
http://elar.urfu.ru/handle/10995/93130| Title: | On Interpolation by Almost Trigonometric Splines |
| Authors: | Novikov, S. I. |
| Issue Date: | 2017 |
| Publisher: | N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences Ural Federal University named after the first President of Russia B.N. Yeltsin |
| Citation: | Novikov S. I. On Interpolation by Almost Trigonometric Splines / S. I. Novikov. — DOI 10.15826/umj.2017.2.009. — Text : electronic // Ural Mathematical Journal. — 2017. — Volume 3. — № 2. — P. 67-73. |
| Abstract: | The existence and uniqueness of an interpolating periodic spline defined on an equidistant mesh by the linear differential operator L2n+2(D)=D2(D2+12)(D2+22)⋯(D2+n2) with n∈N are reproved under the final restriction on the step of the mesh. Under the same restriction, sharp estimates of the error of approximation by such interpolating periodic splines are obtained. |
| Keywords: | SPLINES INTERPOLATION APPROXIMATION LINEAR DIFFERENTIAL OPERATOR |
| URI: | http://elar.urfu.ru/handle/10995/93130 |
| Access: | Creative Commons Attribution License |
| License text: | https://creativecommons.org/licenses/by/4.0/ |
| ISSN: | 2414-3952 |
| DOI: | 10.15826/umj.2017.2.009 |
| metadata.dc.description.sponsorship: | This work was supported by the Program “Modern problems in function theory and applications” of the Ural Branch of RAS (project no. 15–16–1–4). |
| Origin: | Ural Mathematical Journal. 2017. Volume 3. № 2 |
| Appears in Collections: | Ural Mathematical Journal |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| umj_2017_3_2_67-73.pdf | 110,59 kB | Adobe PDF | View/Open |
This item is licensed under a Creative Commons License
