Generalized ( p, q ) $(p,q)$ -Bleimann-Butzer-Hahn operators and some approximation results

Abstract The aim of this paper is to introduce a new generalization of Bleimann-Butzer-Hahn operators by using ( p, q ) $(p,q)$ -integers which is based on a continuously differentiable function μ on [ 0, ∞ ) = R + $[0,\infty)=\mathbb{R}_{+}$. We establish the Korovkin type approximation results and compute the degree of approximation by using the modulus of continuity. Moreover, we investigate the shape preserving properties of these operators.

Abstract licence: CC BY-NC-ND

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