Generalized strong unicity constants in linear uniform approximation

Abstract

For linear best uniform approximation, we introduce the generalized strong unicity constant, study its characterizations and obtain a convenient computation of it. This constant has already been used to tell how near a (linear or nonlinear) parameter is to the best (unknown) parameter in aribitrary parameter norm.

Keywords:

• Uniform approximation
• generalized strong unicity constant
• characterization
• computation

C.R. Category::

• G.1.2

^† A visiting professor from Shanghai University of Science and Technology,Shanghai,201800 China.

^† A visiting professor from Shanghai University of Science and Technology,Shanghai,201800 China.

Notes

^† A visiting professor from Shanghai University of Science and Technology,Shanghai,201800 China.