Approximation by Combination of Operators of Summation-Integral Type : Approximation by Positive Linear Operators

The linear positive operators are saturated by order O(1/n). We discuss two combination techniques, iterative and linear to significantly improve this order. The central theorems i.e. direct, inverse and saturation have been discussed. The Bezier variant of a linear operators has been introduced. The last topic is error estimate by an integrated Baskakov-type operator for the functions of the bounded variation.