Some results for max-product operators

In the first part of this thesis, the introduction part is given. In the second part, the basic definitions and theorems needed in the thesis are introduced. In the third chapter, some maximum product operators are given, their approximation properties are examined. Nonlinear Chlodowsky type truncated Lupas operator of maximum product is defined and the degree of approximation of the given set of operators is calculated using the first modulus of continuity. It has been proved that the degree of approximation cannot be further improved. In the fourth chapter, for the nonlinear Chlodowsky type truncated Lupas operator of maximum product defined in the thesis, better approximation degrees of some subclasses are defined and the shape properties of this operator are examined. In the last chapter, results are given.