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Volume 10, Issue 2
Rational Interpolation for Stieltjes Functions

Guo-Liang Xu

J. Comp. Math., 10 (1992), pp. 181-193.

Published online: 1992-10

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  • Abstract

The continuity conclusions about rational Hermite interpolating functions are given under some conditions. On that basis, we establish the convergence results for the paradiagonal sequences of the rational interpolants for Stieltjes functions and Hamburger functions.

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@Article{JCM-10-181, author = {Xu , Guo-Liang}, title = {Rational Interpolation for Stieltjes Functions}, journal = {Journal of Computational Mathematics}, year = {1992}, volume = {10}, number = {2}, pages = {181--193}, abstract = {

The continuity conclusions about rational Hermite interpolating functions are given under some conditions. On that basis, we establish the convergence results for the paradiagonal sequences of the rational interpolants for Stieltjes functions and Hamburger functions.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9351.html} }
TY - JOUR T1 - Rational Interpolation for Stieltjes Functions AU - Xu , Guo-Liang JO - Journal of Computational Mathematics VL - 2 SP - 181 EP - 193 PY - 1992 DA - 1992/10 SN - 10 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9351.html KW - AB -

The continuity conclusions about rational Hermite interpolating functions are given under some conditions. On that basis, we establish the convergence results for the paradiagonal sequences of the rational interpolants for Stieltjes functions and Hamburger functions.

Guo-Liang Xu. (1970). Rational Interpolation for Stieltjes Functions. Journal of Computational Mathematics. 10 (2). 181-193. doi:
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