Cubic Spline HistopolationFootnote^*
* The research was supported by institutional research funding IUT20-57 of the Estonian Ministry of Education and Research.

Evely KirsiaedUniversity of Tartu, Institute of Mathematics and Statistics, J. Liivi 2, TartuCorrespondence[email protected]

Peeter OjaUniversity of Tartu, Institute of Mathematics and Statistics, J. Liivi 2, Tartu

Gul Wali ShahUniversity of Tartu, Institute of Mathematics and Statistics, J. Liivi 2, Tartu

Abstract

Cubic spline histopolation with arbitrary placement of histogram knots and spline knots between them is studied. Classical boundary conditions are used. Histopolating spline is represented with the help of second moments and particular integrals. The systems determining these parameters are investigated in different cases where diagonal dominance in matrices takes place or may be absent.

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* The research was supported by institutional research funding IUT20-57 of the Estonian Ministry of Education and Research.

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Cubic Spline HistopolationFootnote^*
* The research was supported by institutional research funding IUT20-57 of the Estonian Ministry of Education and Research.

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Cubic Spline HistopolationFootnote** The research was supported by institutional research funding IUT20-57 of the Estonian Ministry of Education and Research.

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Cubic Spline HistopolationFootnote^*
* The research was supported by institutional research funding IUT20-57 of the Estonian Ministry of Education and Research.