On generalized integral Bernstein operators based on q-integers
Abstract The purpose of this paper is to study a simple integral generalization of q -analog of well known Bernstein operators with two parameters α and β , which was introduced in Mishra and Patel (2013) [17]. We give detail proof of the rate of convergence and Voronovskaja type asymptotic formula for the operators D n , q α , β . Also, we establish statistical convergence for these operators and discuss modification of the operators D n , q α , β for better approximation results over compact interval.