On approximation properties of generalized q-Bernstein-Kantorovich operators

Abstract

In this paper, we develop a generalization of q -Bernstein-Kantorovich type operators. We first study some fundamental properties of these operators and then investigate approximation properties of a sequence of these operators using Korovkin theorem. Finally, we estimate rate of approximation by modulus of continuity. Mathematics subject classification (2010): 41A10, 41A25, 41A36.