On an Interpolation Process of Lagrange-Hermite Type
Publications de l'Institut Mathématique, _N_S_91 (2012) no. 105, p. 163
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We consider a Lagrange-Hermite polynomial, interpolating a function at the Jacobi zeros and, with its first $(r-1)$ derivatives, at the points $m 1$. We give necessary and sufficient conditions on the weights for the uniform boundedness of the related operator in certain suitable weighted $L^p$-spaces, $1
Classification :
41A05 41A10
Keywords: Hermite-Lagrange interpolation, approximation by polynomials, orthogonal polynomials, Jacobi weights
Keywords: Hermite-Lagrange interpolation, approximation by polynomials, orthogonal polynomials, Jacobi weights
@article{PIM_2012_N_S_91_105_a13,
author = {Giuseppe Mastroianni and Gradimir V. Milovanovi\'c and Incoronata Notarangelo},
title = {On an {Interpolation} {Process} of {Lagrange-Hermite} {Type}},
journal = {Publications de l'Institut Math\'ematique},
pages = {163 },
year = {2012},
volume = {_N_S_91},
number = {105},
language = {en},
url = {http://geodesic.mathdoc.fr/item/PIM_2012_N_S_91_105_a13/}
}
TY - JOUR AU - Giuseppe Mastroianni AU - Gradimir V. Milovanović AU - Incoronata Notarangelo TI - On an Interpolation Process of Lagrange-Hermite Type JO - Publications de l'Institut Mathématique PY - 2012 SP - 163 VL - _N_S_91 IS - 105 UR - http://geodesic.mathdoc.fr/item/PIM_2012_N_S_91_105_a13/ LA - en ID - PIM_2012_N_S_91_105_a13 ER -
%0 Journal Article %A Giuseppe Mastroianni %A Gradimir V. Milovanović %A Incoronata Notarangelo %T On an Interpolation Process of Lagrange-Hermite Type %J Publications de l'Institut Mathématique %D 2012 %P 163 %V _N_S_91 %N 105 %U http://geodesic.mathdoc.fr/item/PIM_2012_N_S_91_105_a13/ %G en %F PIM_2012_N_S_91_105_a13
Giuseppe Mastroianni; Gradimir V. Milovanović; Incoronata Notarangelo. On an Interpolation Process of Lagrange-Hermite Type. Publications de l'Institut Mathématique, _N_S_91 (2012) no. 105, p. 163 . http://geodesic.mathdoc.fr/item/PIM_2012_N_S_91_105_a13/