ABSTRACT
In many problems arising in engineering and control one requires approximation methods to reproduce physical reality as well as possible. Very schematically, if the input data represent a complicated discrete/continuous quantity of information, then one desires to represent it with the less-complicated output information. Function approximation also plays an important role in the application of information engineering, such as identification system and optimal control theory. Function approximation provides a technical method and learning method. This paper is concretely desired to research vector-valued function approximation by the Fejèr mean operator.
