Approximation theory: Difference between revisions

From Citizendium
Jump to navigation Jump to search
imported>Igor Grešovnik
No edit summary
imported>Hendra I. Nurdin
mNo edit summary
Line 1: Line 1:
{{subpages}}
In [[mathematics]], '''approximation theory''' is concerned with how [[Function (mathematics)|functions]] can be best [[approximation|approximated]] with simpler functions, and with quantitatively characterising the [[approximation error|errors]] introduced thereby. What is meant by ''best'' and ''simpler'' will depend on the application.
In [[mathematics]], '''approximation theory''' is concerned with how [[Function (mathematics)|functions]] can be best [[approximation|approximated]] with simpler functions, and with quantitatively characterising the [[approximation error|errors]] introduced thereby. What is meant by ''best'' and ''simpler'' will depend on the application.



Revision as of 17:09, 24 November 2007

This article is developing and not approved.
Main Article
Discussion
Related Articles  [?]
Bibliography  [?]
External Links  [?]
Citable Version  [?]
 
This editable Main Article is under development and subject to a disclaimer.

In mathematics, approximation theory is concerned with how functions can be best approximated with simpler functions, and with quantitatively characterising the errors introduced thereby. What is meant by best and simpler will depend on the application.

Approximation theory has many applications, especially in numerical computation, physics, engineering and computer science. Of particular interest in computer science is approximating functions in a computer mathematical library, using operations that can be performed on the computer (e.g. addition and multiplication), such that the result is as close to the actual function as possible. This is typically done with polynomial or rational approximations.

See also