The Lebesgue constant of local cubic splines with equally-spaced knots
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 20 (2017) no. 4, pp. 445-451
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It is proved that the uniform Lebesgue constant (the norm of a linear operator from $C$ to $C$) of local cubic splines with equally-spaced knots, which preserve cubic polynomials, is equal to $11/9$.
@article{SJVM_2017_20_4_a7,
author = {V. T. Shevaldin and O. Ya. Shevaldina},
title = {The {Lebesgue} constant of local cubic splines with equally-spaced knots},
journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
pages = {445--451},
publisher = {mathdoc},
volume = {20},
number = {4},
year = {2017},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/SJVM_2017_20_4_a7/}
}
TY - JOUR AU - V. T. Shevaldin AU - O. Ya. Shevaldina TI - The Lebesgue constant of local cubic splines with equally-spaced knots JO - Sibirskij žurnal vyčislitelʹnoj matematiki PY - 2017 SP - 445 EP - 451 VL - 20 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SJVM_2017_20_4_a7/ LA - ru ID - SJVM_2017_20_4_a7 ER -
%0 Journal Article %A V. T. Shevaldin %A O. Ya. Shevaldina %T The Lebesgue constant of local cubic splines with equally-spaced knots %J Sibirskij žurnal vyčislitelʹnoj matematiki %D 2017 %P 445-451 %V 20 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/SJVM_2017_20_4_a7/ %G ru %F SJVM_2017_20_4_a7
V. T. Shevaldin; O. Ya. Shevaldina. The Lebesgue constant of local cubic splines with equally-spaced knots. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 20 (2017) no. 4, pp. 445-451. http://geodesic.mathdoc.fr/item/SJVM_2017_20_4_a7/