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Remarks on an article of J. P. King. (English) Zbl 1121.41013
Summary: The present note discusses an interesting positive linear operator which was recently introduced by 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:
41A25 Rate of convergence, degree of approximation
41A36 Approximation by positive operators
47H10 Fixed-point theorems
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