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On nonlinear simultaneous approximation problems
Journal article   Peer reviewed

On nonlinear simultaneous approximation problems

Mansour Alyazidi-Asiry and Chong Li
Applicable analysis, Vol.94(1), pp.24-43
02/01/2015
DOI: https://doi.org/10.1080/00036811.2013.848272

Abstract

alternation degree monotonic norm Primary: 41A28 rational function simultaneous approximation weak betweenness property
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.

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