Upper bounds for uniform Lebesgue constants of interpolational periodic sourcewise representable splines
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 21 (2015) no. 4, pp. 309-315
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Upper bounds for Lebesgue constants (norms of linear operators from $C$ to $C$) of interpolational periodic sourcewise representable splines with uniform knots are obtained for a wide class of periodic integrable kernels $K$.
Mots-clés :
Lebesgue constants, sourcewise representable splines
Keywords: uniform knots.
Keywords: uniform knots.
@article{TIMM_2015_21_4_a28,
author = {V. T. Shevaldin and O. Ya. Shevaldina},
title = {Upper bounds for uniform {Lebesgue} constants of interpolational periodic sourcewise representable splines},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {309--315},
publisher = {mathdoc},
volume = {21},
number = {4},
year = {2015},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2015_21_4_a28/}
}
TY - JOUR AU - V. T. Shevaldin AU - O. Ya. Shevaldina TI - Upper bounds for uniform Lebesgue constants of interpolational periodic sourcewise representable splines JO - Trudy Instituta matematiki i mehaniki PY - 2015 SP - 309 EP - 315 VL - 21 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TIMM_2015_21_4_a28/ LA - ru ID - TIMM_2015_21_4_a28 ER -
%0 Journal Article %A V. T. Shevaldin %A O. Ya. Shevaldina %T Upper bounds for uniform Lebesgue constants of interpolational periodic sourcewise representable splines %J Trudy Instituta matematiki i mehaniki %D 2015 %P 309-315 %V 21 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/TIMM_2015_21_4_a28/ %G ru %F TIMM_2015_21_4_a28
V. T. Shevaldin; O. Ya. Shevaldina. Upper bounds for uniform Lebesgue constants of interpolational periodic sourcewise representable splines. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 21 (2015) no. 4, pp. 309-315. http://geodesic.mathdoc.fr/item/TIMM_2015_21_4_a28/