On the degree of approximation by Bernstein operators.
Păltănea, Radu (1998)
General Mathematics
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Păltănea, Radu (1998)
General Mathematics
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Stancu, D.D. (1998)
General Mathematics
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Francesco Altomare (1989)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Q. Razi (1989)
Matematički Vesnik
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Ivan, Mircea (1998)
General Mathematics
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Heiner Gonska, Radu Păltănea (2010)
Czechoslovak Mathematical Journal
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We introduce and study a one-parameter class of positive linear operators constituting a link between the well-known operators of S. N. Bernstein and their genuine Bernstein-Durrmeyer variants. Several limiting cases are considered including one relating our operators to mappings investigated earlier by Mache and Zhou. A recursion formula for the moments is proved and estimates for simultaneous approximation of derivatives are given.
Balcerzak, Marek (2015-12-08T11:33:48Z)
Acta Universitatis Lodziensis. Folia Mathematica
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