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Gavrea, Ioan; Ivan, Mircea

On the iterates of positive linear operators preserving the affine functions. (English) Zbl 1196.41014

J. Math. Anal. Appl. 372, No. 2, 366-368 (2010).
Summary: We study the limit behavior of the iterates of a large class of positive linear operators preserving the affine functions and, as a byproduct of our result, we obtain the limit of the iterates of Meyer-König and Zeller operators.

Cited in 20 Documents

MSC:

41A36 Approximation by positive operators

Keywords:

iterates; positive linear operators; Bernstein operators; Meyer-König and Zeller operators; May operators
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\textit{I. Gavrea} and \textit{M. Ivan}, J. Math. Anal. Appl. 372, No. 2, 366--368 (2010; Zbl 1196.41014)
Full Text: DOI

References:

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