Appoximation by complex baskakov operators to analitic functions

In this thesis, we deal with the complex Baskakov operators defined by kn kkn n n k k W f z f z0 n n n( 1)...( 1) 1 ( ; ) [0, ,..., ; ]???===+ + ?= ?and ( ) ( )0111knnkn k z k Z f z z fk z n;??????===? ? + ? ? ? ? ?= + ? ?? ? ? ? ? i? i ? i + ?Since these operators do not coincide for all z ?? they have been studied separately, under different hypothesis on f and z ?? . First the properties of approximation and exact order in approximation by the complex operators ( )( ) W f z n are given. Later similar results fort he complex operator ( )( ) Z f z nunder different conditions on f and in different domains, are obtained.Science Code : 204.1.095 Key Words : Baskakov operators, complex Baskakov operators, Voronovskaja-type formula, simultaneus approximation.Page Number : 71 Adviser : Prof. Dr. Nurhayat İSPİR