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Search: MSC category 41A35 ( Approximation by operators (in particular, by integral operators) )

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Xu, Xu; Zhu, Laiyi
Rational function operators from Poisson integrals
In this paper, we construct two classes of rational function operators by using the Poisson integrals of the function on the whole real axis. The convergence rates of the uniform and mean approximation of such rational function operators on the whole real axis are studied.

Keywords:rational function operators, Poisson integrals, convergence rate, uniform approximation, mean approximation
Categories:41A20, 41A25, 41A35

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