Approximation properties of non-linear maximum-product typeoperators

The approximations of linear(linear) non-negative operators are calculated with the help of Korovkin theorem and their error rates are found. In addition to these calculations, there are also non-linear operators with a maximum-product model. It has been seen that such operators can be closer to the fact that the error rates are more sensitive. The maximum-product type Bernstein operators, the maximum- product type Szasz operators, maximum- product generalized Szasz operators and modified Szasz operators are defined, respectively, and the approximation problems are investigated with the help of the continuity module. Finally, the differences between linear and nonlinear approximations are given comparatively with graphics and examples.