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In this manuscript, linear and positive operators described on bounded and unbounded intervals that fix the function sets {1,  φ } and {1,  φ 2 } such that  φ  ∈  C [0, 1] are presented. Then we present different types of operators by choosing different functions and values. Finally, Voronovskaya type theorems are given for this newly defined sequences of linear and positive operators.

Approximation of functions with linear positive operators which fix {1, φ} and {1, φ 2}

Approximation of functions with linear positive operators which fix {1, φ} and {1, φ ²}