Geodesic
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 
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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/