Approximation properties of generalized blending type Lototsky-Bernstein operators

. In this paper, we introduce a family of blending type Bernstein operators L α , s n ( f ; x ) which depends on two parameters, α and s . We prove a Korovkin type approximation theorem and obtain the rate of convergence of these operators. We also prove that these operators has monotonicity and convexity preserving properties for each α and s . So far, Lotosky matrices that generates blending type Bernstein operators were ignored. In this paper, we also introduce Lototsky matrices that generates these new family of blending type Bernstein operators.