Direct and inverse theorems for multivariate bernstein-schurer-stancu operators

Abstract

In this paper, we introduce the multivariate Bernstein-Schurer-Stancu operators. Then, we state the Volkov-type theorem and investigate the order of convergence by means of modulus of continuity and by Lipschitz class functionals. Moreover, the inverse theorems are studied for the multivariate Stancu variant of Bernstein operators. © 2015 Miskolc University Press.