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Some approximation results on Bleimann-Butzer-Hahn operators defined by (p,q)-integers

Mursaleen Mohammad (Aligarh Muslim University, Department of Mathematics, Aligarh, India)
Nasiruzzaman Md (Aligarh Muslim University, Department of Mathematics, Aligarh, India)
Khan Asif (Aligarh Muslim University, Department of Mathematics, Aligarh, India)
Ansari Khursheed Jamal (Aligarh Muslim University, Department of Mathematics, Aligarh, India)

In this paper we introduce a generalization of the Bleimann-Butzer-Hahn operators based on (p,q)-integers and obtain Korovkin’s type approximation theorem for these operators. Furthermore, we compute convergence of these operators by using the modulus of continuity.

Keywords: (p,q)-integers, (p,q)-Bernstein operators, (p,q)-Bleimann-Butzer-Hahn operators, q-Bleimann-Butzer-Hahn operators, modulus of continuity