Rate of A-statistical Approximation of a Modified Q-bernstein Operators (communicated by Professor
نویسندگان
چکیده
In this paper, we discuss properties of convergence for a modification of the q-Bernstein operators. Using the notion of A-statistical approximation, where A is a nonnegative regular summability matrix, we investigate the Korovkin type statistical approximation properties of this modification via A-statistical approximation. For 0 < q ≤ 1, we obtain that the q-Bernstein operators is A-statistical convergence to f(x), and show that the rate of convergence for the modified q-Bernstein operators is better than the q-Bernstein operators on interval [0, γn] ⊂ [0, 1] by means of the modulus of continuity.
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