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Original Articles

Cubic Spline HistopolationFootnote*

, &
Pages 514-527 | Received 23 Sep 2016, Accepted 15 Jul 2017, Published online: 03 Jul 2017
 

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.

AMS Subject Classification:

Notes

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

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