@Article{JCM-11-4,
author = {Ying-Guang, Shi},
title = {Singularity and Quadrature Regularity of $(0,1,\cdots,m-2,m)$-Interpolation on the Zeros of Jacobi Polynomials},
journal = {Journal of Computational Mathematics},
year = {1993},
volume = {11},
number = {4},
pages = {329--338},
abstract = {<p style="text-align: justify;">In this paper we show that, if a problem of $(0,1,\cdots,m-2,m)$-interpolation on the zeros of the Jacobi polynomials $P^{\alpha,β}_n(x) (\alpha,β\geq -1)$ has infinite solutions, then the general form of the solutions is $f_0(x)+Cf(x)$ with an arbitrary constant $C$, where $f_0(x)$ and $f(x)$ are fixed polynomials of degree $\leq mn-1$. Moreover, the explicit form of $f(x)$ is given. A necessary and sufficient condition of quadrature regularity of the interpolation in a manageable form is also established. &nbsp;</p>},
issn = {1991-7139},
doi = {https://doi.org/1993-JCM-9332},
url = {https://global-sci.com/article/85926/singularity-and-quadrature-regularity-of-01cdotsm-2m-interpolation-on-the-zeros-of-jacobi-polynomials}
}