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Rational Function Operators from Poisson Integrals

Published online by Cambridge University Press:  20 November 2018

Xu Xu  and
Laiyi Zhu
Xu Xu
Affiliation:
School of Information, Renmin University of China, Beijing, 100872, China e-mail: eunice0420@163.comzhulaiyi@ruc.edu.cn
Laiyi Zhu
Affiliation:
School of Information, Renmin University of China, Beijing, 100872, China e-mail: eunice0420@163.comzhulaiyi@ruc.edu.cn
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Abstract

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In this paper, we construct two classes of rational function operators 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

41A2041A20541A35rational function operatorsPoisson integralsconvergence rateuniform approximationmean approximation
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 60 , Issue 4 , 01 December 2017 , pp. 872 - 878
Copyright
Copyright © Canadian Mathematical Society 2017

References

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