Approximation by $\alpha$-Bernstein-Schurer operator

Authors : Nursel ÇETİN

Pages : 732-743

Doi:10.15672/hujms.626905

View : 13 | Download : 6

Publication Date : 2021-06-07

Article Type : Research Paper

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