| 词条 | Korovkin approximation |
| 释义 |
In mathematics the Korovkin approximation is a convergence statement in which the approximation of a function is given by a certain sequence of functions. In practice a continuous function can be approximated by polynomials. With Korovkin approximations one comes a convergence for the whole approximation with examination of the convergence of the process at a finite number of functions. The Korovkin approximation is named after Pavel Korovkin.[1][2] References1. ^{{cite journal|last1=Korovkin|first1=P.P.|title=On convergence of linear positive operators in the space of continuous function|journal=Proceedings of the USSR Academy of Sciences|date=1953|volume=90|pages=961–964}} 2. ^{{cite book|last=Altomare |first= Francesco|last2=Campiti |first2=Michele |date= 1994|title= Korovkin-type Approximation Theory and Its Applications|url=https://books.google.co.uk/books?id=NGsXNrmWQ8YC&redir_esc=y |publisher= Walter de Gruyter|pages=627 |access-date=4 August 2016}} 2 : Computational mathematics|Functional analysis |
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