On the asymptotic behaviour and smoothness properties of some positive linear operators for the approximation of continuous functions

The uniform approximation of continuous functions of a real variable on intervals, through positive linear operators J is an active field of research at present. This study first surveys the various linear operators used in this connection, e.g. Operators of Bernstein, Szasz, Baskakov, Meyer-Konig and Zeller as well as those of Shah and Suryanarayana and the various results obtained from them.