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@article{TIMM_2011_17_3_a4,
author = {Carl de Boor},
title = {On the (bi)infinite case of {Shadrin's} theorem concerning the $L_\infty$-boundedness of the $L_2$-spline projector},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {24--29},
year = {2011},
volume = {17},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TIMM_2011_17_3_a4/}
}
TY - JOUR AU - Carl de Boor TI - On the (bi)infinite case of Shadrin's theorem concerning the $L_\infty$-boundedness of the $L_2$-spline projector JO - Trudy Instituta matematiki i mehaniki PY - 2011 SP - 24 EP - 29 VL - 17 IS - 3 UR - http://geodesic.mathdoc.fr/item/TIMM_2011_17_3_a4/ LA - en ID - TIMM_2011_17_3_a4 ER -
%0 Journal Article %A Carl de Boor %T On the (bi)infinite case of Shadrin's theorem concerning the $L_\infty$-boundedness of the $L_2$-spline projector %J Trudy Instituta matematiki i mehaniki %D 2011 %P 24-29 %V 17 %N 3 %U http://geodesic.mathdoc.fr/item/TIMM_2011_17_3_a4/ %G en %F TIMM_2011_17_3_a4
Carl de Boor. On the (bi)infinite case of Shadrin's theorem concerning the $L_\infty$-boundedness of the $L_2$-spline projector. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 3, pp. 24-29. http://geodesic.mathdoc.fr/item/TIMM_2011_17_3_a4/
[1] de Boor C., “The quasi-interpolant as a tool in elementary polynomial spline theory”, Approximation Theory, eds. G. G. Lorentz, et al., Acad. Press, New York, 1973, 269–276 | MR
[2] de Boor C., “The inverse of a totally positive bi-infinite band matrix”, Trans. Amer. Math. Soc., 274 (1982), 45–58 | DOI | MR | Zbl
[3] de Boor C., Jia Rong-Qing, Pinkus A., “Structure of invertible (bi)infinite totally positive matrices”, Linear Algebra Appl., 47 (1982), 41–55 | DOI | MR | Zbl
[4] Lindner M., Infinite matrices and their finite sections. An introduction to the limit operator method, Frontiers in mathematics, Birkhauser, Basel, 2006, xv+191 pp. | MR | Zbl
[5] Pinkus A., Totally positive matrices, CUP, Cambridge, UK, 2010, xii+182 pp. | MR
[6] Shadrin A. Yu., “The $L_\infty$-norm of the $L_2$-spline projector is bounded independently of the knot sequence: A proof of de Boor's conjecture”, Acta Math., 187 (2001), 59–137 | DOI | MR | Zbl