Statistical approximation by generalized Meyer-König and Zeller type operators

This thesis consists of six chapters.The first chapter has been devoted to the introductions.In the second chapter,the concepts of positive linear operators,modulus of continuity.Peetre's K-functional,Lipschitz class,statistical convergence and A-statistical convergence have been recalled and some known results concerning them have also been considered.In the third chapter,using A-statistical convergence,Korovkin type approximation theorem for positive linear operators have been given an arbitrary interval I of IR.In the fourth chapter, A Kantorovich type generalization of Agratini's operators have been introduced and using A-statistical convergence,the approximation properties of Agratini's operators have been studied.In the fifth chapter,A Kantorovich type generalization of Agratini's operators and a statistical approximation result for these operators have been given.Also, the rates of A-statistical approximation for the operators have been investigated.In the sixth chapter, Korovkin type theorems for a general sequence of positive linear operators including many integral type generalizations of well known operators via the concept of statistical convergence.