TY - JOUR
T1 - De Boor–Fix functionals and Hermite boundary conditions in the polynomial spline interpolation problem
AU - Volkov, Yuriy S.
PY - 2020/4/13
Y1 - 2020/4/13
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
JO - European Journal of Mathematics
JF - European Journal of Mathematics
SN - 2199-675X
ER -