Approximation properties of Kantorovich type q-Balázs-Szabados operators

Abstract

In this paper, we introduce a new kind of q-Balázs-Szabados-Kantorovich operators called q-BSK operators. We give a weighted statistical approximation theorem and the rate of convergence of the q-BSK operators. Also, we investigate the local approximation results. Further, we give some comparisons associated with the convergence of q-BSK operators.

Keywords

• balázs-szabados operators
• q-calculus
• rate of convergence
• peetre’s k-functional
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