Üstel tipli operatörler ve onların yakınsaklık özellikleri

This thesis is a survey on some approximation properties of exponential type operators in the Approximation Theory. One of the fundamental problems of analysis is to approximate a given function f in some sense or other by functions having certain properties, and generally, by functions which have 'better' properties than f. It is to be expected that the better behaved functions are to be constructed from the given f by some smoothing operation on f itself. This thesis consists of four chapters. The first chapter is devoted to the introduction. The second chapter contains concepts, definitions and also some important theorems, which we need further studies and calculations. In the third chapter, we give some informations about the exponential type operators and their connection with the differential equations. In the last chapter, we study the uniform convergence and rate of convergence of some exponential type operators by modulus of continuity and Lipschitz Class functions. Also, we study Korovkin type theorems and Voronovskaya type theorems for these operators.