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Korovkin approximation

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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.

References

  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.


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