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. 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]

References

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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[1] 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.

[2] Altomare, Francesco; Campiti, Michele (1994). Korovkin-type Approximation Theory and Its Applications. Walter de Gruyter. p. 627. ISBN 9783110141788. Retrieved 4 August 2016.