Displaying similar documents to “A note on the Bézier variant of certain Bernstein Durrmeyer operators.”

Simultaneous approximation by a class of Bernstein-Durrmeyer operators preserving linear functions

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.

Lupaş-Durrmeyer operators.

Deo, Naokant (2004)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

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