Approximation of functions of two variables by harmonic splines
We construct two-dimensional splines and give two versions of an estimate of the deviation of splines from approximated functions. We compare approximations by a planar broken line and by a harmonic spline. We also substantiate the advisability of introduction of the notion of harmonic splines in ma...
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| Date: | 1995 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1995
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5518 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511749751439360 |
|---|---|
| author | Klimenko, V. T. Клименко, В. Т. Клименко, В. Т. |
| author_facet | Klimenko, V. T. Клименко, В. Т. Клименко, В. Т. |
| author_sort | Klimenko, V. T. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:12:37Z |
| description | We construct two-dimensional splines and give two versions of an estimate of the deviation of splines from approximated functions. We compare approximations by a planar broken line and by a harmonic spline. We also substantiate the advisability of introduction of the notion of harmonic splines in mathematics. |
| first_indexed | 2026-03-24T03:17:51Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5518 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:17:51Z |
| publishDate | 1995 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/fd/fc99e0e4b155965ad25055b1a595f1fd.pdf |
| spelling | umjimathkievua-article-55182020-03-19T09:12:37Z Approximation of functions of two variables by harmonic splines Аппроксимация гармоническими сплайнами функций двух переменных Klimenko, V. T. Клименко, В. Т. Клименко, В. Т. We construct two-dimensional splines and give two versions of an estimate of the deviation of splines from approximated functions. We compare approximations by a planar broken line and by a harmonic spline. We also substantiate the advisability of introduction of the notion of harmonic splines in mathematics. Побудовані двовимірні сплайни. Оцінка відхилення сплайну від апроксимованої функції дана у двох виглядах. Порівнюються апроксимації плоскою ламаною лінією і гармонійним сплайном. Обґрунтовується доцільність введення в математику поняття гармонійного сплайну. Institute of Mathematics, NAS of Ukraine 1995-09-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5518 Ukrains’kyi Matematychnyi Zhurnal; Vol. 47 No. 9 (1995); 1190-1196 Український математичний журнал; Том 47 № 9 (1995); 1190-1196 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5518/7724 https://umj.imath.kiev.ua/index.php/umj/article/view/5518/7725 Copyright (c) 1995 Klimenko V. T. |
| spellingShingle | Klimenko, V. T. Клименко, В. Т. Клименко, В. Т. Approximation of functions of two variables by harmonic splines |
| title | Approximation of functions of two variables by harmonic splines |
| title_alt | Аппроксимация гармоническими сплайнами функций двух
переменных |
| title_full | Approximation of functions of two variables by harmonic splines |
| title_fullStr | Approximation of functions of two variables by harmonic splines |
| title_full_unstemmed | Approximation of functions of two variables by harmonic splines |
| title_short | Approximation of functions of two variables by harmonic splines |
| title_sort | approximation of functions of two variables by harmonic splines |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5518 |
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