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Volume 8, Issue 3
On the Problem of Best Rational Approximation with Interpolating Constraints (I)

Jia-Kai Li & Guo-Liang Xu

J. Comp. Math., 8 (1990), pp. 233-240.

Published online: 1990-08

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  • Abstract

The aim of this conjoint paper is to discuss the problem of the best rational approximation with interpolating constraints. In part I, we give the necessary and sufficient conditions for the existence of the best rational approximations and establish some characterization theorem for such approximations. The problems of uniqueness, the properties for the set of best approximations, strong uniqueness and continuity of best approximation operator are considered in Part II. The results obtained in this paper are the completion and extension of those given in [1].

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@Article{JCM-8-233, author = {Li , Jia-Kai and Xu , Guo-Liang}, title = {On the Problem of Best Rational Approximation with Interpolating Constraints (I)}, journal = {Journal of Computational Mathematics}, year = {1990}, volume = {8}, number = {3}, pages = {233--240}, abstract = {

The aim of this conjoint paper is to discuss the problem of the best rational approximation with interpolating constraints. In part I, we give the necessary and sufficient conditions for the existence of the best rational approximations and establish some characterization theorem for such approximations. The problems of uniqueness, the properties for the set of best approximations, strong uniqueness and continuity of best approximation operator are considered in Part II. The results obtained in this paper are the completion and extension of those given in [1].

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9436.html} }
TY - JOUR T1 - On the Problem of Best Rational Approximation with Interpolating Constraints (I) AU - Li , Jia-Kai AU - Xu , Guo-Liang JO - Journal of Computational Mathematics VL - 3 SP - 233 EP - 240 PY - 1990 DA - 1990/08 SN - 8 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9436.html KW - AB -

The aim of this conjoint paper is to discuss the problem of the best rational approximation with interpolating constraints. In part I, we give the necessary and sufficient conditions for the existence of the best rational approximations and establish some characterization theorem for such approximations. The problems of uniqueness, the properties for the set of best approximations, strong uniqueness and continuity of best approximation operator are considered in Part II. The results obtained in this paper are the completion and extension of those given in [1].

Li , Jia-Kai and Xu , Guo-Liang. (1990). On the Problem of Best Rational Approximation with Interpolating Constraints (I). Journal of Computational Mathematics. 8 (3). 233-240. doi:
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