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Estimates for Modified-Kantorovich Bernstein type Ra-tional Operators based on Weighted Convergence

Abstract:
In this paper, we introduce a new modification of Balázs-Szabados operators. We deduce a recurrence formula and calculate the moments and central moments as main results for giving main theorems for weighted convergence. As we investigate the weighted approximation properties of a new modification of Kantorovich type of Balázs-Szabados operators by using the weighted modulus of continuity and we provide the main convergence result for the weighted estimation of these new operators.