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Original scientific paper

Statistical convergence and rate of convergence of a sequence of positive linear operators

F. Dirik


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page 147-153

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Abstract

In the present paper, a modification of positive linear operators which was proposed by O. Agratini is introduced. This modification
which preserves function e2 (x) = x2 provides a better estimation
than operators given by Agratini. Also, using the concept of statistical
convergence, we give the Korovkin type approximation theorem for this modification.

Keywords

operators given by Agratini; statistical convergence; the Korovkin type approximation theorem; modulus of contiunity

Hrčak ID:

17955

URI

https://hrcak.srce.hr/17955

Publication date:

7.12.2007.

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