A study of (σ, μ)-Stancu-Schurer as a new generalization and approximations

The goal of this manuscript is to introduce a new sequence as (σ, μ)-Stancu-Schurer operators. Further, some estimates are calculated as test functions and central moments. In the next section, rapidity of convergence and order of approximation are studied in terms of first and second order modulus of continuity. Voronovskaja-type approximation result is investigated to approximate the class of functions which has first and second order continuous derivatives. Moreover, local approximation properties are studied in several functional spaces. To demonstrate the effectiveness and applicability of the proposed operators, we present several illustrative examples and visualize the results graphically.