CALIBRATION RELATIONS FOR ANALOGUES OF THE BASIS SPLINES WITH UNIFORM NODES
The paper deals with generalized linear and parabolic B-splines with the uniform nodes constructed by means only one function \(\varphi(x)\). For such splines in this paper conditions have been found that guarantee satisfaction of two-scale relations.
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| Format: | Article |
| Language: | English |
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Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics
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/76 |
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| _version_ | 1849253406934302720 |
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| author | Valerii T. Shevaldin |
| author_facet | Valerii T. Shevaldin |
| author_sort | Valerii T. Shevaldin |
| collection | DOAJ |
| description | The paper deals with generalized linear and parabolic B-splines with the uniform nodes constructed by means only one function \(\varphi(x)\). For such splines in this paper conditions have been found that guarantee satisfaction of two-scale relations. |
| format | Article |
| id | doaj-art-61c429dd61c14e21a4a9cd42ad15e053 |
| institution | Kabale University |
| issn | 2414-3952 |
| language | English |
| publishDate | 2017-07-01 |
| publisher | Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics |
| record_format | Article |
| series | Ural Mathematical Journal |
| spelling | doaj-art-61c429dd61c14e21a4a9cd42ad15e0532025-08-20T03:56:22ZengUral Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and MechanicsUral Mathematical Journal2414-39522017-07-013110.15826/umj.2017.1.00633CALIBRATION RELATIONS FOR ANALOGUES OF THE BASIS SPLINES WITH UNIFORM NODESValerii T. Shevaldin0N.N. Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences; Ural Federal University, EkaterinburgThe paper deals with generalized linear and parabolic B-splines with the uniform nodes constructed by means only one function \(\varphi(x)\). For such splines in this paper conditions have been found that guarantee satisfaction of two-scale relations.https://umjuran.ru/index.php/umj/article/view/76B-spline, Uniform nodes, Two-scale relations |
| spellingShingle | Valerii T. Shevaldin CALIBRATION RELATIONS FOR ANALOGUES OF THE BASIS SPLINES WITH UNIFORM NODES Ural Mathematical Journal B-spline, Uniform nodes, Two-scale relations |
| title | CALIBRATION RELATIONS FOR ANALOGUES OF THE BASIS SPLINES WITH UNIFORM NODES |
| title_full | CALIBRATION RELATIONS FOR ANALOGUES OF THE BASIS SPLINES WITH UNIFORM NODES |
| title_fullStr | CALIBRATION RELATIONS FOR ANALOGUES OF THE BASIS SPLINES WITH UNIFORM NODES |
| title_full_unstemmed | CALIBRATION RELATIONS FOR ANALOGUES OF THE BASIS SPLINES WITH UNIFORM NODES |
| title_short | CALIBRATION RELATIONS FOR ANALOGUES OF THE BASIS SPLINES WITH UNIFORM NODES |
| title_sort | calibration relations for analogues of the basis splines with uniform nodes |
| topic | B-spline, Uniform nodes, Two-scale relations |
| url | https://umjuran.ru/index.php/umj/article/view/76 |
| work_keys_str_mv | AT valeriitshevaldin calibrationrelationsforanaloguesofthebasissplineswithuniformnodes |