83
Views
0
CrossRef citations to date
0
Altmetric
Articles

On nonlinear simultaneous approximation problems

&
Pages 24-43 | Received 22 Aug 2013, Accepted 20 Sep 2013, Published online: 20 Nov 2013
 

Abstract

This paper deals with best nonlinear simultaneous approximation problems to two continuous functions under a general monotonic norm on . Characterizations results of Kolmogorov type and of alternation type and uniqueness results for the best simultaneous approximation are established. Applications are given to the set of rational functions.

Classification:

Acknowledgments

This project was supported by the visiting professor program of King Saud University, Saudi Arabia. Research of this author was partially supported by the National Natural Science Foundation of China (Grant 11171300) and by Zhejiang Provincial Natural Science Foundation of China (Grant LY13A010011).

Notes

Dedicated to Boris Mordukhovich on his 65th Birthday.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.