Quasi‐interpolation by splines on the uniform knot sets
In the case of uniform grids, the error of the spline interpolant of a function defined on R has been well estimated. On the basis of the spline interpolation formula for functions defined on R we derive quasi‐interpolation formulae for functions defined on R or in a vicinity of a bounded interval,...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Vilnius Gediminas Technical University
2007-03-01
|
| Series: | Mathematical Modelling and Analysis |
| Subjects: | |
| Online Access: | https://journals.vgtu.lt/index.php/MMA/article/view/7099 |
| _version_ | 1818789083968700416 |
|---|---|
| author | Evely Leetma |
| author_facet | Evely Leetma |
| author_sort | Evely Leetma |
| collection | DOAJ |
| description | In the case of uniform grids, the error of the spline interpolant of a function defined on R has been well estimated. On the basis of the spline interpolation formula for functions defined on R we derive quasi‐interpolation formulae for functions defined on R or in a vicinity of a bounded interval, say [0,1], and we estimate the difference between the interpolant and the quasi‐interpolants.
First Published Online: 14 Oct 2010 |
| first_indexed | 2024-12-18T14:33:56Z |
| format | Article |
| id | doaj.art-be7051e3e52e473fb836e2f71e92466e |
| institution | Directory Open Access Journal |
| issn | 1392-6292 1648-3510 |
| language | English |
| last_indexed | 2024-12-18T14:33:56Z |
| publishDate | 2007-03-01 |
| publisher | Vilnius Gediminas Technical University |
| record_format | Article |
| series | Mathematical Modelling and Analysis |
| spelling | doaj.art-be7051e3e52e473fb836e2f71e92466e2022-12-21T21:04:32ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102007-03-0112110.3846/1392-6292.2007.12.107-120Quasi‐interpolation by splines on the uniform knot setsEvely Leetma0University of Tartu, Liivi 2, 50409 Tartu, EstoniaIn the case of uniform grids, the error of the spline interpolant of a function defined on R has been well estimated. On the basis of the spline interpolation formula for functions defined on R we derive quasi‐interpolation formulae for functions defined on R or in a vicinity of a bounded interval, say [0,1], and we estimate the difference between the interpolant and the quasi‐interpolants. First Published Online: 14 Oct 2010https://journals.vgtu.lt/index.php/MMA/article/view/7099splinesinterpolationquasi‐interpolationweakly singular integral equations |
| spellingShingle | Evely Leetma Quasi‐interpolation by splines on the uniform knot sets Mathematical Modelling and Analysis splines interpolation quasi‐interpolation weakly singular integral equations |
| title | Quasi‐interpolation by splines on the uniform knot sets |
| title_full | Quasi‐interpolation by splines on the uniform knot sets |
| title_fullStr | Quasi‐interpolation by splines on the uniform knot sets |
| title_full_unstemmed | Quasi‐interpolation by splines on the uniform knot sets |
| title_short | Quasi‐interpolation by splines on the uniform knot sets |
| title_sort | quasi interpolation by splines on the uniform knot sets |
| topic | splines interpolation quasi‐interpolation weakly singular integral equations |
| url | https://journals.vgtu.lt/index.php/MMA/article/view/7099 |
| work_keys_str_mv | AT evelyleetma quasiinterpolationbysplinesontheuniformknotsets |