On the Problem of Best Rational Approximation with Interpolating Constraints (I)

On the Problem of Best Rational Approximation with Interpolating Constraints (I)

Year:    1990

Author:    Jia-Kai Li, Guo-Liang Xu

Journal of Computational Mathematics, Vol. 8 (1990), Iss. 3 : pp. 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].

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1990-JCM-9436

Journal of Computational Mathematics, Vol. 8 (1990), Iss. 3 : pp. 233–240

Published online:    1990-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords:   

Author Details

Jia-Kai Li

Guo-Liang Xu