In this paper, we obtain the Fekete-szego inequality defined on the class of analytical functions normalized in the unit disk, which is defined by generalized derivative operator and the Hadamard product with a normalized analytic function. The main purpose of this paper is to give an estimate for the Fekete szego inequality when f ∈Δ_(n,m)^(λ_1,λ_2,l) (φ(z),ψ(z);α,β,γ).