Comparison of the approximation with one and two variable Bernstein-Chlodowsky and Chlodowsky-Taylor polynomials

This thesis consists of five parts. In the first part, the main description and theorems in the approximation theory those are going to be used in this thesis takes place. In the second part, Bernstein-Chlodowsky and Chlodowsky-Taylor polynomials of one variable and the main characteristics of the approach is told. In the third part, Bernstein-Chlodowsky and Chlodowsky-Taylor polynomials of two variables and the main characteristics of the approach is mentioned. In the fourth part is the application parts of the thesis. With the both operators the approximation rate calculation is researched individually for the single variable function and for the function of two variables. And the approximation rate calculation is investigated by the help of modulus of continuity. With numerical calculations the approach and error account are presented numerically. In the last section, the results, about the thesis are told for the researchers that will do research in this field.