Some approximation results on higher order generalization of Bernstein type operators defined by (p,q)-integers

Abstract

In this paper, we introduce the higher order generalization of Bernstein type operators defined by (p,q)-integers. We establish some approximation results for these new operators by using the modulus of continuity.

12 pages

References in corpus (2)

• On the fundamental theorem of $(p,q)$-calculus and some $(p,q)$-Taylor formulas
• Some approximation properties of bivariate Bleimann-Butzer and Hahn operators based on (p,q)-integers