De Boor–Fix functionals and Hermite boundary conditions in the polynomial spline interpolation problem

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De Boor–Fix functionals and Hermite boundary conditions in the polynomial spline interpolation problem. / Volkov, Yuriy S.

In: European Journal of Mathematics, Vol. 7, No. 1, 03.2021, p. 396-403.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{90423c3576cb48d79dd789d8c351ecf4,

title = "De Boor–Fix functionals and Hermite boundary conditions in the polynomial spline interpolation problem",

abstract = "By means of de Boor–Fix functionals Hermite boundary conditions in the problem of spline interpolation are obtained. It is shown that some of the first and last B-spline coefficients can be found by explicit formulas in terms of elementary symmetric functions and the remaining coefficients can be computed as a solution of a banded system of linear equations.",

keywords = "Banded system of equations, De Boor–Fix functionals, Hermite boundary conditions, Spline interpolation, De Boor-Fix functionals",

author = "Volkov, {Yuriy S.}",

year = "2021",

month = mar,

doi = "10.1007/s40879-020-00406-z",

language = "English",

volume = "7",

pages = "396--403",

journal = "European Journal of Mathematics",

issn = "2199-675X",

publisher = "Springer International Publishing AG",

number = "1",

}

RIS

TY - JOUR

T1 - De Boor–Fix functionals and Hermite boundary conditions in the polynomial spline interpolation problem

AU - Volkov, Yuriy S.

PY - 2021/3

Y1 - 2021/3

N2 - By means of de Boor–Fix functionals Hermite boundary conditions in the problem of spline interpolation are obtained. It is shown that some of the first and last B-spline coefficients can be found by explicit formulas in terms of elementary symmetric functions and the remaining coefficients can be computed as a solution of a banded system of linear equations.

AB - By means of de Boor–Fix functionals Hermite boundary conditions in the problem of spline interpolation are obtained. It is shown that some of the first and last B-spline coefficients can be found by explicit formulas in terms of elementary symmetric functions and the remaining coefficients can be computed as a solution of a banded system of linear equations.

KW - Banded system of equations

KW - De Boor–Fix functionals

KW - Hermite boundary conditions

KW - Spline interpolation

KW - De Boor-Fix functionals

UR - http://www.scopus.com/inward/record.url?scp=85083780689&partnerID=8YFLogxK

U2 - 10.1007/s40879-020-00406-z

DO - 10.1007/s40879-020-00406-z

M3 - Article

AN - SCOPUS:85083780689

VL - 7

SP - 396

EP - 403

JO - European Journal of Mathematics

JF - European Journal of Mathematics

SN - 2199-675X

IS - 1

ER -

ID: 24093560