Matematičeskie trudy, Tome 1 (1998) no. 2, pp. 68-78
Citer cet article
Yu. S. Volkov. Best Error Bounds for the Derivative of a Quartic Interpolation Spline. Matematičeskie trudy, Tome 1 (1998) no. 2, pp. 68-78. http://geodesic.mathdoc.fr/item/MT_1998_1_2_a2/
@article{MT_1998_1_2_a2,
author = {Yu. S. Volkov},
title = {Best {Error} {Bounds} for {the~Derivative} of {a~Quartic} {Interpolation} {Spline}},
journal = {Matemati\v{c}eskie trudy},
pages = {68--78},
year = {1998},
volume = {1},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MT_1998_1_2_a2/}
}
TY - JOUR
AU - Yu. S. Volkov
TI - Best Error Bounds for the Derivative of a Quartic Interpolation Spline
JO - Matematičeskie trudy
PY - 1998
SP - 68
EP - 78
VL - 1
IS - 2
UR - http://geodesic.mathdoc.fr/item/MT_1998_1_2_a2/
LA - ru
ID - MT_1998_1_2_a2
ER -
%0 Journal Article
%A Yu. S. Volkov
%T Best Error Bounds for the Derivative of a Quartic Interpolation Spline
%J Matematičeskie trudy
%D 1998
%P 68-78
%V 1
%N 2
%U http://geodesic.mathdoc.fr/item/MT_1998_1_2_a2/
%G ru
%F MT_1998_1_2_a2
For a quartic $C^2$-spline, G. Howell and A. Varma established the best estimate for an error of interpolation of a smooth function. The article provides an answer to their question on estimating the derivative. We obtain an estimate for the error of approximation to the derivative with a sharp constant.
