Local behaviour of the derivative of a mid point cubic spline interpolator
In the present paper, we obtain an asymptotically precise estimate for the derivative of the difference between the cubic spline interpolating at the mid points of a uniform partition and the function interpolated.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
1987-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171287000085 |
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| author | H. P. Dikshit S. S. Rana |
| author_facet | H. P. Dikshit S. S. Rana |
| author_sort | H. P. Dikshit |
| collection | DOAJ |
| description | In the present paper, we obtain an asymptotically precise estimate for the
derivative of the difference between the cubic spline interpolating at the mid points of a uniform partition and the function interpolated. |
| format | Article |
| id | doaj-art-ca1c0fcda38741a58f2e22495b048c60 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1987-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-ca1c0fcda38741a58f2e22495b048c602025-02-03T05:53:47ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251987-01-01101636710.1155/S0161171287000085Local behaviour of the derivative of a mid point cubic spline interpolatorH. P. Dikshit0S. S. Rana1Department of Mathematics and Computer Sciences, R.D. University, Jabalpur 482001, IndiaDepartment of Mathematics and Computer Sciences, R.D. University, Jabalpur 482001, IndiaIn the present paper, we obtain an asymptotically precise estimate for the derivative of the difference between the cubic spline interpolating at the mid points of a uniform partition and the function interpolated.http://dx.doi.org/10.1155/S0161171287000085local behaviourderivativemid pointcubic spline interpolation. |
| spellingShingle | H. P. Dikshit S. S. Rana Local behaviour of the derivative of a mid point cubic spline interpolator International Journal of Mathematics and Mathematical Sciences local behaviour derivative mid point cubic spline interpolation. |
| title | Local behaviour of the derivative of a mid point cubic spline interpolator |
| title_full | Local behaviour of the derivative of a mid point cubic spline interpolator |
| title_fullStr | Local behaviour of the derivative of a mid point cubic spline interpolator |
| title_full_unstemmed | Local behaviour of the derivative of a mid point cubic spline interpolator |
| title_short | Local behaviour of the derivative of a mid point cubic spline interpolator |
| title_sort | local behaviour of the derivative of a mid point cubic spline interpolator |
| topic | local behaviour derivative mid point cubic spline interpolation. |
| url | http://dx.doi.org/10.1155/S0161171287000085 |
| work_keys_str_mv | AT hpdikshit localbehaviourofthederivativeofamidpointcubicsplineinterpolator AT ssrana localbehaviourofthederivativeofamidpointcubicsplineinterpolator |