On one question of Ed Saff
Electronic transactions on numerical analysis, Tome 25 (2006), pp. 439-445
In relation to Fourier-Pad$\acute e$ approximation, Ed Saff observed that Taylor and Lagrange interpolation projections satisfy the following property: $\textcent $###$\sterling $########$\ddot $§$\copyright \textcent $###$\sterling $§ "!$#\%\textcent ###$£$###$'©$(){\S}!$0textcent$###$£$###1{\S}$2©textcent$###$£3${\S}54 We classify all projections that satisfy this property, thus answering a question of Saff. Some error formulas for approximation with the above-mentioned projections are also produced.$
Classification :
41A05, 41A10, 41A45, 41A80
Keywords: ideal projection, Hermite interpolation, error formula
Keywords: ideal projection, Hermite interpolation, error formula
@article{ETNA_2006__25__a5,
author = {Shekhtman, Boris},
title = {On one question of {Ed} {Saff}},
journal = {Electronic transactions on numerical analysis},
pages = {439--445},
year = {2006},
volume = {25},
zbl = {1107.41004},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ETNA_2006__25__a5/}
}
Shekhtman, Boris. On one question of Ed Saff. Electronic transactions on numerical analysis, Tome 25 (2006), pp. 439-445. http://geodesic.mathdoc.fr/item/ETNA_2006__25__a5/