Approximation properties of some Bernstein-Schurer type operators

Abstract

This paper mainly studies the approximation properties of Bernstein-Schurer operators based on a non-negative real parameter λ. By analysis techniques and the method to make the kernel estimation, the author studies the convergence order of this Schurer operators for the function class θBV[0,1 + p]. Our conclusion expands the research results of Çetin.