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On best cubature formulas and spline interpolation
A general cubature formula with an arbitrary preassigned weight function is derived using monosplines and integration by parts. The problem of determining the best cubature is formulated in terms of monosplines of least deviation and a solution to the problem is given by theorem 3 below. This theore...
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| Lenguaje: | eng |
| Publicado: |
1975
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| Acceso en línea: | http://cds.cern.ch/record/968044 |
| _version_ | 1780910448492675072 |
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| author | El-Tom, M E A |
| author_facet | El-Tom, M E A |
| author_sort | El-Tom, M E A |
| collection | CERN |
| description | A general cubature formula with an arbitrary preassigned weight function is derived using monosplines and integration by parts. The problem of determining the best cubature is formulated in terms of monosplines of least deviation and a solution to the problem is given by theorem 3 below. This theorem may also be viewed as an optimal property of a new kind of two-dimensional spline interpolation. |
| id | cern-968044 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 1975 |
| record_format | invenio |
| spelling | cern-9680442019-09-30T06:29:59Zhttp://cds.cern.ch/record/968044engEl-Tom, M E AOn best cubature formulas and spline interpolationAccelerators and Storage RingsMathematical Physics and MathematicsA general cubature formula with an arbitrary preassigned weight function is derived using monosplines and integration by parts. The problem of determining the best cubature is formulated in terms of monosplines of least deviation and a solution to the problem is given by theorem 3 below. This theorem may also be viewed as an optimal property of a new kind of two-dimensional spline interpolation.CERN-DD-75-005CERN-DD-75-5oai:cds.cern.ch:968044oai:cds.cern.ch:3079401975 |
| spellingShingle | Accelerators and Storage Rings Mathematical Physics and Mathematics El-Tom, M E A On best cubature formulas and spline interpolation |
| title | On best cubature formulas and spline interpolation |
| title_full | On best cubature formulas and spline interpolation |
| title_fullStr | On best cubature formulas and spline interpolation |
| title_full_unstemmed | On best cubature formulas and spline interpolation |
| title_short | On best cubature formulas and spline interpolation |
| title_sort | on best cubature formulas and spline interpolation |
| topic | Accelerators and Storage Rings Mathematical Physics and Mathematics |
| url | http://cds.cern.ch/record/968044 |
| work_keys_str_mv | AT eltommea onbestcubatureformulasandsplineinterpolation |