Approximation of Analytic Functions with an Arbitrary Order by Generalized Baskakov-Faber Operators in Compact Sets

摘要

By using a sequence , with the property that as fast we want, in this paper we obtain the approximation order for a generalized Baskakov-Faber operator attached to analytic functions of exponential growth in a continuum . Several concrete examples of continuums G are given for which this operator can explicitly be constructed.