Abstract:
Summation rational positive operators D4n−n(x;f) of the Jackson type are constructed on the real axis. The corresponding approximations of continuous functions f on R with coinciding finite limits limx→−∞f(x) and limx→+∞f(x) are estimated.
\Bibitem{Rov97}
\by E.~A.~Rovba
\paper Summation rational operators of the Jackson type
\jour Mat. Zametki
\yr 1997
\vol 61
\issue 2
\pages 270--277
\mathnet{http://mi.mathnet.ru/mzm1500}
\crossref{https://doi.org/10.4213/mzm1500}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1619943}
\zmath{https://zbmath.org/?q=an:1134.41333}
\transl
\jour Math. Notes
\yr 1997
\vol 61
\issue 2
\pages 221--226
\crossref{https://doi.org/10.1007/BF02355732}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1997XM39800025}
Linking options:
https://www.mathnet.ru/eng/mzm1500
https://doi.org/10.4213/mzm1500
https://www.mathnet.ru/eng/mzm/v61/i2/p270
This publication is cited in the following 2 articles:
Komarov M.A., “Distribution of the Logarithmic Derivative of a Rational Function on the Line”, Acta Math. Hung., 163:2 (2021), 623–639
V. N. Rusak, I. V. Rybachenko, “The Properties of Functions and Approximation by Summation Rational Operators on the Real Axis”, Math. Notes, 76:1 (2004), 103–110