SOME HERMITE-BIRKHOFF SPLINE INTERPOLATION

It is considered an interpolating Hermite-Birkhoff problem of a given function by polynomial spline of degree 2m+1. The spline interpolation is constructed such that it interpolates the derivatives of function up to the order m at the knots of a uniform partition and the values of function at the en...

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Bibliographic Details
Published in:Buletinul ştiinţific al Universitatii Baia Mare, Seria B, Fascicola matematică-informatică Seria B, Fascicola matematică-informatică, 1993-01, Vol.9, p.39-44
Main Author: BLAGA, Petru P.
Format: Article
Language:English
Subjects:
ANALYSIS
Degrees of polynomials
Integers
Interpolation
Polynomials
Online Access:Get full text
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Summary:It is considered an interpolating Hermite-Birkhoff problem of a given function by polynomial spline of degree 2m+1. The spline interpolation is constructed such that it interpolates the derivatives of function up to the order m at the knots of a uniform partition and the values of function at the ends. Following particular results obtained in [2, 3] the even-degree case was treated in [1]. Construction, existence, and uniqueness are given for the spline interpolation function.
ISSN:1222-1201