Approximation of functions with linear positive operators which fix {1, φ} and {1, φ2}

Abstract

In this manuscript, linear and positive operators described on bounded and unbounded intervals that fix the function sets {1, φ} and {1, φ2} 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.

Keywords

• approximation
• linear and positive operators
• voronovskaya type thorem
• primary 41a25
• secondary 41a36