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

The paper is an updated survey of our work on the approximation of univariate setvalued functions by samples-based linear approximation operators, beyond the results reported in our previous overview. Our approach is to adapt operators for real-valued functions to set-valued functions, by replacing operations between numbers by operations between sets. For set-valued functions with compact conv...

In this paper, we introduce a new family of generalized Bernstein-Schurer operators and investigate some approximation properties these operators. We obtain uniform result using the well-known Korovkin theorem give degree via second modulus smoothness. Also, present Voronovskaya Grüss-Voronovskaya type results for