In this paper for a Jordan domaon D with smoothness the degree of approximation in of rational interpolating functions at the Fejer points of meromorphic functions with finite poles in D is obtained.
Let D be a Jordan domain in the complex plane.In this paper the es- timation of order of approximation by rational functions S_n=(Z-Znk), Zn,∈D is obtained in general Bergman spaces B_p^q(D),where 1≤p<+∞, q>2...Let D be a Jordan domain in the complex plane.In this paper the es- timation of order of approximation by rational functions S_n=(Z-Znk), Zn,∈D is obtained in general Bergman spaces B_p^q(D),where 1≤p<+∞, q>2p.Furthermore,in general,the' estimation is best possible.展开更多
文摘In this paper for a Jordan domaon D with smoothness the degree of approximation in of rational interpolating functions at the Fejer points of meromorphic functions with finite poles in D is obtained.
文摘Let D be a Jordan domain in the complex plane.In this paper the es- timation of order of approximation by rational functions S_n=(Z-Znk), Zn,∈D is obtained in general Bergman spaces B_p^q(D),where 1≤p<+∞, q>2p.Furthermore,in general,the' estimation is best possible.
