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Zbl 1121.41013
Gonska, Heiner; Piţul, Paula
Remarks on an article of J. P. King. (English)
[J] Commentat. Math. Univ. Carol. 46, No. 4, 645-652 (2005). ISSN 0010-2628

Summary: The present note discusses an interesting positive linear operator which was recently introduced by {\it J.\,P.\,King} [Acta Math. Hung. 99, No.3, 203-208 (2003; Zbl 1027.41028)]. New estimates in terms of the first and second modulus of continuity are given, and iterates of the operators are considered as well. For general King operators the second moments are minimized.

MSC 2000:: *41A25 Degree of approximation, etc.
41A36 Approximation by positive operators
47H10 Fixed point theorems for nonlinear operators on topol.linear spaces

Keywords: positive linear operators; degree of approximation

Citations: Zbl 1027.41028

Cited in: Zbl 1171.28002

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