Pointwise and Uniform Approximation Properties of $\sigma$-Stancu-Schurer operators

Abstract

The goal of this manuscript is to introduce a new sequence of $\alpha$-Stancu-Schurer operators. Further, basic estimates are calculated.  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 investigated to approximate the class of functions which has first and second order continuous derivatives. Moreover, local and global approximation properties are studied in several functional spaces. Lastly, A-statistical approximation results are presented.