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One sided Hermite interpolation by piecewise different generalized polynomials

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  • G. Mühlbach

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Original languageEnglish
Pages (from-to)285-298
Number of pages14
JournalJournal of Computational and Applied Mathematics
Volume196
Issue number1
Early online date7 Nov 2005
Publication statusPublished - 1 Nov 2006

Abstract

Piecewise generalized polynomials of different kinds of order n (ECT-splines of order n) are constructed from different ECT-systems of order n via connection matrices which are nonsingular and totally positive. A well-known zero count for polynomial splines is extended to ECT-splines. It is used to construct ECT-B-splines and to show under which conditions ECT-splines will solve modified Hermite-type interpolation problems. Also conditions are specified such that piecewise generalized polynomials form rECT-systems and the interpolation problems associated with may be solved recursively.

Keywords

    ECT-systems, Generalized piecewise polynomials, Generalized polynomials, Modified Hermite interpolation, One sided Hermite interpolation

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Cite this

One sided Hermite interpolation by piecewise different generalized polynomials. / Mühlbach, G.
In: Journal of Computational and Applied Mathematics, Vol. 196, No. 1, 01.11.2006, p. 285-298.

Research output: Contribution to journalArticleResearchpeer review

Mühlbach G. One sided Hermite interpolation by piecewise different generalized polynomials. Journal of Computational and Applied Mathematics. 2006 Nov 1;196(1):285-298. Epub 2005 Nov 7. doi: 10.1016/j.cam.2005.06.045
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