Approximation with an arbitrary order by szász, szászkantorovich and Baskakov complex operators in compact disks

Abstract

By using a sequence ?<inf>n</inf> > 0, n ? N with the property ?<inf>n</inf> ? 0 as fast as we want, in this paper we obtain the approximation order O(?<inf>n</inf>) for some generalized Szász, Szász-Kantorovich, and Baskakov complex operators attached to entire functions or to analytic functions of exponential growth in compact disks which do not involve the values on [0, +?). © 2010 AZJM All rights reserved.