Korovkin approximation
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. Korovkin approximation theory provides a way to establish the convergence of a sequence of positive linear operators on a function space by examining its convergence on a finite set of test functions. The Korovkin approximation is named after Pavel Korovkin.[1][2]
References
[edit]- ^ Korovkin, P.P. (1953). "On convergence of linear positive operators in the space of continuous function". Proceedings of the USSR Academy of Sciences. 90: 961–964.
- ^ Altomare, Francesco; Campiti, Michele (1994). Korovkin-type Approximation Theory and Its Applications. Walter de Gruyter. p. 627. ISBN 9783110141788. Retrieved 4 August 2016.
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