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Rational Function Operators from Poisson Integrals

  Published:2016-09-29
 Printed: Dec 2017
  • Xu Xu,
    School of Information, Renmin University of China, Beijing, 100872, China
  • Laiyi Zhu,
    School of Information, Renmin University of China, Beijing, 100872, China
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Abstract

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 rational function operators, Poisson integrals, convergence rate, uniform approximation, mean approximation
MSC Classifications: 41A20, 41A25, 41A35 show english descriptions Approximation by rational functions
Rate of convergence, degree of approximation
Approximation by operators (in particular, by integral operators)
41A20 - Approximation by rational functions
41A25 - Rate of convergence, degree of approximation
41A35 - Approximation by operators (in particular, by integral operators)
 

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